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Study sets matching "exponents exponential functions"

10 terms
Exponents and Exponential Functions
Zero Exponents
Multiplying Powers with the Same Base
Negative Exponents
Raising a Power to a Power
Any base raised to the power of zero is equal to one.
To multiply powers with the same base, add the exponents.
An expression with a negative power ends up on the opposite s…
To raise a power to a power, multiply the exponents.
Zero Exponents
Any base raised to the power of zero is equal to one.
Multiplying Powers with the Same Base
To multiply powers with the same base, add the exponents.
14 terms
Exponents and Exponential Functions
Exponent
Term
Coefficient
polynomial
The exponent of a number says how many times to use the numbe…
A single number or variable or numbers and variables multipli…
A number multiplied to a variable in a term.
A monomial or a sum or difference of monomials.
Exponent
The exponent of a number says how many times to use the numbe…
Term
A single number or variable or numbers and variables multipli…
30 terms
Exponents and Exponential Functions Review
Exponential Function
Exponential Decay
Exponential Growth
rate of change
y=abⁿ
Occurs when a quantity decreases exponentially over time.
Occurs when a quantity increases exponentially over time.
b
Exponential Function
y=abⁿ
Exponential Decay
Occurs when a quantity decreases exponentially over time.
14 terms
Exponents, Exponential Functions and Logs
Product of powers property
Power of a Power property
Power of a product property
Zero exponent property
to multiply powers with the same base, ADD their exponents. a…
to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…
To find the power of a product, find the power of each factor…
a nonzero quantity raised to the zero power is equal to 1, b⁰…
Product of powers property
to multiply powers with the same base, ADD their exponents. a…
Power of a Power property
to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…
8 terms
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
20 terms
Exponents and Exponential Functions
power
exponent
base
Zero Exponent
the number of times a quantity is used as a factor
a mathematical notation indicating the number of times a quan…
the number or expression that is used as a factor in a repeat…
b to the zero power is 1... b^0 = 1
power
the number of times a quantity is used as a factor
exponent
a mathematical notation indicating the number of times a quan…
9 terms
Exponent and Exponential Functions Vocabulary
Base
Exponent
Exponential Growth
Exponential Decay
the number below the exponent
The number above the base
Is where it grows in a amount over time
Is where it decreases in a amount over time
Base
the number below the exponent
Exponent
The number above the base
12 terms
Exponents and Exponential Functions
Power
Base
Exponential Function
Exponential Decay
The base and the exponent of an expression in the form a^n
The quantity in a power that is used as the factor
A function that repeatedly multiplies an initial amount by th…
a situation modeled with a function of the form y=ab^x, where…
Power
The base and the exponent of an expression in the form a^n
Base
The quantity in a power that is used as the factor
17 terms
Exponents and Exponential Functions
Monomial
Constant
Zero exponents
Negative exponent
expression in algebra that contains one term
a number on its own
any base with an exponent is equal to one
how many times to divide by a number
Monomial
expression in algebra that contains one term
Constant
a number on its own
13 terms
Exponents and exponential functions
Monomial
Constant
Zero Exponent
Negative Exponent
Number, a variable, or product of a number and one or more va…
Monomial that is a real number
Any non zero number raised to the power of zero
Any non zero real number raised to the negative power
Monomial
Number, a variable, or product of a number and one or more va…
Constant
Monomial that is a real number
12 terms
Exponents and Exponential Functions
base
compound interest
decay factor
exponent
the quantity in a power that is used as the factor
interest that is paid on your principal and previous interest
the factor represented by b in the equation y=ab^x where 0<b<1
tells you how many times to use the base as a factor
base
the quantity in a power that is used as the factor
compound interest
interest that is paid on your principal and previous interest
8 terms
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
24 terms
Unit 3 - Exponents and Exponential Functions
Exponent
Zero as an Exponent
Negative Exponents Property
Addition/Subtraction Property of Expon…
A number that shows repeated multiplication; found in the sup…
For every nonzero number a, a⁰=1
For every nonzero number, a⁻ⁿ=1/aⁿ
When adding or subtracting values raised to exponents, you ca…
Exponent
A number that shows repeated multiplication; found in the sup…
Zero as an Exponent
For every nonzero number a, a⁰=1
8 terms
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
8 terms
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
18 terms
Chapter 7: Exponents and Exponential Functions
monomial
constant
zero exponent
negative exponent
a number, a variable, or a product of a number and one or mor…
a monomial that is a real number
for any nonzero number a, a^0=1; any nonzero number raised to…
for any real number a not equal to zero and any integer n, a^…
monomial
a number, a variable, or a product of a number and one or mor…
constant
a monomial that is a real number
8 terms
Chapter 7 Exponents and Exponential Functions
compound interest
decay factor
exponential decay
exponential function
interest earned or paid on both the principal and previously…
the base (1 - r) in an exponential expression
an exponential function of the form f(x) = ab^x in which 0<b<1
a function of the form f(x) = ab^x, where a and b are real nu…
compound interest
interest earned or paid on both the principal and previously…
decay factor
the base (1 - r) in an exponential expression
18 terms
Chapter 7: Exponents and Exponential Functions
monomial
constant
zero exponent
negative exponent
a number, a variable, or a product of a number and one or mor…
a monomial that is a real number
for any nonzero number a, a^0=1; any nonzero number raised to…
for any real number a not equal to zero and any integer n, a^…
monomial
a number, a variable, or a product of a number and one or mor…
constant
a monomial that is a real number
12 terms
Chapter 8 - Exponents and exponential Functions
Product of powers property
Power of a Power property
Power of a product property
Zero exponent property
to multiply powers with the same base, ADD their exponents. a…
to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…
To find the power of a product, find the power of each factor…
a nonzero quantity raised to the zero power is equal to 1, b⁰…
Product of powers property
to multiply powers with the same base, ADD their exponents. a…
Power of a Power property
to find the power of a power, multiply the exponents (a)ⁿ=aⁿ,…
8 terms
Chapter 7 Exponents & Exponential Functions
Compound interest
Index
Exponential function
Exponential growth
Example of exponential growth (paying both principal and inte…
Gives degree of root
A function of the form Y equals A times B squared where A is…
Can be modeled by the function Y equal to A times B squared w…
Compound interest
Example of exponential growth (paying both principal and inte…
Index
Gives degree of root
18 terms
Chapter 7: Exponents and Exponential Functions
monomial
constant
zero exponent
negative exponent
a number, a variable, or a product of a number and one or mor…
a monomial that is a real number
for any nonzero number a, a^0=1; any nonzero number raised to…
for any real number a not equal to zero and any integer n, a^…
monomial
a number, a variable, or a product of a number and one or mor…
constant
a monomial that is a real number
8 terms
ALGEBRA: CHAPTER 7 - EXPONENTS AND EXPONENTIAL FUNCTIONS
Index
Exponential function
Exponential growth
Growth factor
With a radical sign, the index indicates the degree of the ro…
A function that repeatedly multiplies an initial amount by th…
A situation modeled with a function of the form y = abx, wher…
1 plus the percent rate of change for an exponential growth s…
Index
With a radical sign, the index indicates the degree of the ro…
Exponential function
A function that repeatedly multiplies an initial amount by th…
16 terms
Exponents and Exponential Functions-Chapter 7
monomial
constant
geometric sequence
common ratio
to multiply two powers that have the same base
a real number
a sequence in which each term after the nonzero first term is…
the number by which each term in a geometric sequence is mult…
monomial
to multiply two powers that have the same base
constant
a real number
23 terms
Chapter 7: Exponents and Exponential Functions
monomial
constant
zero exponent
negative exponent
a number, a variable, or a product of a number and one or mor…
a monomial that is a real number
for any nonzero number a, a^0=1; any nonzero number raised to…
for any real number a not equal to zero and any integer n, a^…
monomial
a number, a variable, or a product of a number and one or mor…
constant
a monomial that is a real number
24 terms
Chapter 8: Exponents and Exponential Functions
order of magnitude
power
exponent
base
the power of 10 nearest a quantity
the number of times a quantity is used as a factor
a mathematical notation indicating the number of times a quan…
the number or expression that is used as a factor in a repeat…
order of magnitude
the power of 10 nearest a quantity
power
the number of times a quantity is used as a factor
12 terms
Unit 2: Exponents and Exponential Functions
Exponential Function
Base
Scientific Notation
Decay Factor
A function that repeatedly multiplies an initial amount by th…
The quantity in a power that is used as the factor.
A number expressed in the form a × 10^n, where n is an intege…
The factor represented by b in the equation ... y = ab^x where 0…
Exponential Function
A function that repeatedly multiplies an initial amount by th…
Base
The quantity in a power that is used as the factor.
Unit 2: Exponents and Exponential Functions
Base
Compound Interest
Decay Factor
Exponent
The quantity in a power that is used as the factor.
Interest that is paid on your principal and previous interest.
The factor represented by b in the equation ... y = ab^x where 0…
Tells you how many times to use the base as a factor.
Base
The quantity in a power that is used as the factor.
Compound Interest
Interest that is paid on your principal and previous interest.
14 terms
Chapter 7 exponent and exponential functions
a monomial
a constant
zero exponent
order of magnitude of quantity
a number, a variable , or a product of a number and a variabl…
a monomial that is a real number
The number always will equal one
is a number rounded to the nearest 10
a monomial
a number, a variable , or a product of a number and a variabl…
a constant
a monomial that is a real number
10 terms
Algebra Quizlet Exponents & Exponential Functions
What does an Exponential Term consist…
In Multiplication of Powers, you multi…
In Division of Powers, you divide the…
2a^3 Which is the constant?
Constant, variable, power
Add exponents
Subtract
2
What does an Exponential Term consist…
Constant, variable, power
In Multiplication of Powers, you multi…
Add exponents
19 terms
Algebra 1 Chapter 8: Exponents and Exponential Functions
Zero Exponent
Negative Exponent
Exponential Function
Exponential Growth
...
A function in the form as above
Zero Exponent
Negative Exponent
...
17 terms
Chapter 7: Exponents and Exponential Functions Vocabulary
Monomial
Common Ratio
Constant
Zero exponents
A number, a variable, or a product of a number and one or mor…
A number that is calculated in a geometric sequence where eac…
A real number that is known for being a monomial
Variables that go for any nonzero numbers such as... a, a^0 = 1
Monomial
A number, a variable, or a product of a number and one or mor…
Common Ratio
A number that is calculated in a geometric sequence where eac…
17 terms
Algebra (Chap 7) - Exponents and Exponential Function
Monomial
Constant
Zero Exponent
Negative Exponent
A number, a variable, or a product of a number and one or mor…
A value that does not change
The number always will equal one
an exponent less than zero which causes the base and its expo…
Monomial
A number, a variable, or a product of a number and one or mor…
Constant
A value that does not change
21 terms
Chapter 4. Exponential Functions (exponent rules)
a^0
a^-n
Reciprocal
a•a•a
1
Ex: 9^-2 = 1/9^2 =1/81
Flipping the fraction
a•a•a
a^0
1
9 terms
Algebra Unit 7 Exponents and Radicals, Power Functions and Exponential Functions
Compound Interest
Decay Factor
Exponential Function
Exponential Growth
Interest paid on both the principal and the interest that has…
1 minus the percent rate of change, expressed as a decimal, f…
A function that repeatedly multiplies an initial amount by th…
A situation modeled with a function of the form y=ab^x where…
Compound Interest
Interest paid on both the principal and the interest that has…
Decay Factor
1 minus the percent rate of change, expressed as a decimal, f…
35 terms
Exponential Functions
Sequence
arithmetic sequence
Geometric sequence
recursive formula
In Math, it is a list of numbers that has a predictable patte…
A sequence in which each term is found by adding a fixed amou…
a sequence in which each term is found by multiplying the pre…
uses the preceding term to define the next term of the sequence
Sequence
In Math, it is a list of numbers that has a predictable patte…
arithmetic sequence
A sequence in which each term is found by adding a fixed amou…
8 terms
Exponential Functions
Exponential Function
exponential growth function
exponential decay function
exponential decay
a function of the form f(x) = ab^x, where a and b are real nu…
y = a(1 + r)^t, where a >0
y = a(1- r)^t, where a >0
occurs when a quantity decreases by the same rate 'r' in each…
Exponential Function
a function of the form f(x) = ab^x, where a and b are real nu…
exponential growth function
y = a(1 + r)^t, where a >0
20 terms
Exponential Functions
Arithmetic Sequence
Domain
Function
Geometric Sequence
An=A1+(n-1)d... a sequence in which each term is found by adding…
The set of input values of a function.
1. A relationship from one set (called the domain) to another…
a sequence in which the ratio of successive terms is a consta…
Arithmetic Sequence
An=A1+(n-1)d... a sequence in which each term is found by adding…
Domain
The set of input values of a function.
31 terms
Exponential Functions
Add 3 to x (in the exponent)
Subtract 3 from x (in the exponent)
Add 3 (NOT in the exponent)
Subtract 3 (NOT in the exponent)
Translate left 3
Translate right 3
Translate up 3
Translate down 3
Add 3 to x (in the exponent)
Translate left 3
Subtract 3 from x (in the exponent)
Translate right 3
Algebra 1b Unit 2: Exponents and Exponential Functions Review
Base
Compound interest
Decay factor
Exponent
The quantity in a power that is used as the factor
Interest that is paid on your principle and previous interest
The factor represented by b in the equation y= ab^x where 0 <…
Tells you how many times to use the base as a factor
Base
The quantity in a power that is used as the factor
Compound interest
Interest that is paid on your principle and previous interest
12 terms
Math chapter 7 - Exponents and Exponential Functions Study Guide (Formulas)
Quotient of Powers Rule
Power of a Quotient
Negative Exponents
Rational Exponents
aᵐ/aᵖ = aᵐ⁻ᵖ
(aᵐ/aᵖ)ˣ = [(aˣ)ᵐ*ˣ/(aˣ)ᵖ*ˣ]
a⁻ˣ = 1/aˣ
a^½ = √a
Quotient of Powers Rule
aᵐ/aᵖ = aᵐ⁻ᵖ
Power of a Quotient
(aᵐ/aᵖ)ˣ = [(aˣ)ᵐ*ˣ/(aˣ)ᵖ*ˣ]
40 terms
Exponential Functions
Sequence
arithmetic sequence
Geometric sequence
recursive formula
In Math, it is a list of numbers that has a predictable patte…
A sequence in which each term is found by adding a fixed amou…
a sequence in which each term is found by multiplying the pre…
uses the preceding term to define the next term of the sequence
Sequence
In Math, it is a list of numbers that has a predictable patte…
arithmetic sequence
A sequence in which each term is found by adding a fixed amou…
9 terms
Exponential Functions
Geometric Sequence
Common Ratio
Exponential Function
exponential growth function
a sequence in which each term is found by multiplying the pre…
the fixed number that you multiply each time in a geometric s…
a function of the form f(x) = ab^x, where a and b are real nu…
y = a(1 + r)^t, where a >0
Geometric Sequence
a sequence in which each term is found by multiplying the pre…
Common Ratio
the fixed number that you multiply each time in a geometric s…
21 terms
Exponential Functions
growth
decay
interest
borrow
crecemiento
decaimiento
interés
prestar
growth
crecemiento
decay
decaimiento
31 terms
Exponential Functions
Add 3 to x (in the exponent)
Subtract 3 from x (in the exponent)
Add 3 (NOT in the exponent)
Subtract 3 (NOT in the exponent)
Translate left 3
Translate right 3
Translate up 3
Translate down 3
Add 3 to x (in the exponent)
Translate left 3
Subtract 3 from x (in the exponent)
Translate right 3
8 terms
Exponential Functions
Exponential Function
Compound Interest
Continuous Compound Interest
Standard Exponential Graph Points
A function where the variable is an exponent.... The exponentia…
Interest calculated on both the principal and the accrued int…
P: Principal... e: the number e... r: interest rate per year... t: num…
All standard exponential graphs go through the point x=0, y=1…
Exponential Function
A function where the variable is an exponent.... The exponentia…
Compound Interest
Interest calculated on both the principal and the accrued int…
16 terms
Exponential Functions
exponential function
growth or decay factor
initial value
growing
y=starting value(growth factor)^x
the fixed multiplier
the starting amount or y-intercept of the graph
Exponential Growth
exponential function
y=starting value(growth factor)^x
growth or decay factor
the fixed multiplier
19 terms
Exponential Functions
Add 3 to x (in the exponent)
Subtract 3 from x (in the exponent)
Add 3 (NOT in the exponent)
Subtract 3 (NOT in the exponent)
Translate left 3
Translate right 3
Translate up 3
Translate down 3
Add 3 to x (in the exponent)
Translate left 3
Subtract 3 from x (in the exponent)
Translate right 3
8 terms
Exponential Functions
Exponential Function
Compound Interest
Continuous Compound Interest
Standard Exponential Graph Points
A function where the variable is an exponent.... The exponentia…
Interest calculated on both the principal and the accrued int…
P: Principal... e: the number e... r: interest rate per year... t: num…
All standard exponential graphs go through the point x=0, y=1…
Exponential Function
A function where the variable is an exponent.... The exponentia…
Compound Interest
Interest calculated on both the principal and the accrued int…
16 terms
Exponential Functions
Add 3 to x (in the exponent); for exam…
Subtract 3 from x (in the exponent)
Add 3 (NOT in the exponent)
Subtract 3 (NOT in the exponent)
Translate left 3
Translate right 3
Translate up 3
Translate down 3
Add 3 to x (in the exponent); for exam…
Translate left 3
Subtract 3 from x (in the exponent)
Translate right 3
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