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Study sets matching "algebra ii honors chapter 7"

8 terms
Honors Algebra 2: Chapter 7 Vocabulary
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
Chapter 7 (p. 506, 7-3)... COMMON LOGAR…
Chapter 7 (p. 522, 7-5)... EXPONENTIAL…
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
8 terms
Honors Algebra 2: Chapter 7 Vocabulary
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
Chapter 7 (p. 506, 7-3)... COMMON LOGAR…
Chapter 7 (p. 522, 7-5)... EXPONENTIAL…
Chapter 7 (p. 490, 7-1)... ASYMPTOTE
Chapter 7 (p. 490, 7-1)... BASE OF AN E…
10 terms
Algebra 2 - Chapter 7
asymptote
Change Base Formula
common logarithm
exponential decay
a line that a graph approaches, but never crosses.
a formula designed to change the base of a logarithm to make…
a logarithm with a base of 10.
the decrease of positive y-values in an exponential function.
asymptote
a line that a graph approaches, but never crosses.
Change Base Formula
a formula designed to change the base of a logarithm to make…
20 terms
Algebra 2 Honors/IB Chapter 7 Vocabulary
polynomial in one variable
degree of a polynomial
leading coefficient
polynomial function
a polynomial that contains only one variable
greatest exponent of its variable
the term with the highest degree
a polynomial equation used to represent a function
polynomial in one variable
a polynomial that contains only one variable
degree of a polynomial
greatest exponent of its variable
18 terms
Honors Algebra 2 Chapter 7 Vocab. 2015
Composition of Functions
Inverse Relation
Inverse Function
One-to-One
A function is performed, and then a second function is perfor…
Two relations are inverse of and only if whenever one relatio…
Two functions f and g are inverse functions if and only if bo…
1) A function where each element of the range is paired with…
Composition of Functions
A function is performed, and then a second function is perfor…
Inverse Relation
Two relations are inverse of and only if whenever one relatio…
11 terms
Algebra 2 Honors Chapter 7
As the coefficient goes up, the narrow…
When p=1
When p=0
When p= even integer
As the coefficient goes up, the narrower it is
D: All Reals... R: All Reals... Directly Proportional... "Straight Line"
D: All Reals... R: y=K... Linear... "Horizontal Line"
D: All Reals... R: y>_0... Parabolic, bigger the power, the more na…
As the coefficient goes up, the narrow…
As the coefficient goes up, the narrower it is
When p=1
D: All Reals... R: All Reals... Directly Proportional... "Straight Line"
35 terms
Algebra 1 Honors Vocabulary Chapter 7
Order of Magnitude
Product of Powers Property
a^n x a^m ---> a^(n + m)
Power of a Power Property
The power of 10 nearest the quantity.
a^n x a^m ---> a^(n + m)
Product of Powers Property
(a^n)^m ---> a^(n x m)
Order of Magnitude
The power of 10 nearest the quantity.
Product of Powers Property
a^n x a^m ---> a^(n + m)
12 terms
Algebra 2 Honors Chapter 7 Vocabulary
Fundamental Counting Principle
Permutation
Combination
Theoretical Probability
A way to figure out the total number of ways different events…
A way, in which a set or number of things can be ordered or a…
A grouping of items, in which order does not matter
the ratio of the number of favorable outcomes to the number o…
Fundamental Counting Principle
A way to figure out the total number of ways different events…
Permutation
A way, in which a set or number of things can be ordered or a…
7 terms
Big Ideas Algebra 2 Chapter 7
constant of variation
inverse variation
rational function
rational expression
The constant a in the inverse variation equation y=a/x, where…
Two variables x and y show inverse variation when y=a/x, wher…
A function that has the form f(x)=p(x)/q(x), where p(x) and q…
A fraction whose numerator and denominator are nonzero polyno…
constant of variation
The constant a in the inverse variation equation y=a/x, where…
inverse variation
Two variables x and y show inverse variation when y=a/x, wher…
16 terms
Honors Algebra II Chapter 7 vocab
Conjugates
Radical equation
nth root
Square root function
Binomials of the form a√b + c√d, where a,b,c, and d are ratio…
An equation with radicals that have variables in the radicands
For any real numbers a and b, and any positive integer n, if…
A function that contains a square root of a variable
Conjugates
Binomials of the form a√b + c√d, where a,b,c, and d are ratio…
Radical equation
An equation with radicals that have variables in the radicands
20 terms
Algebra 2 Chapter 7
Complex Conjugates Theorem
identity function
quadratic form
composition of functions
for any polynomial function, if an imaginary number is a zero…
the function f(x) = x
for any numbers a, b, and c, except for a = 0, an equation th…
a function is performed, and then a second function is perfor…
Complex Conjugates Theorem
for any polynomial function, if an imaginary number is a zero…
identity function
the function f(x) = x
9 terms
Honors Algebra II: Chapter 7 Exponential and Logarithmic Function
logarithmic function
Exponential Growth and Decay Model
Continuously Compounded Interest
common logarithm
the inverse of an exponential function
A(t) = a(1+r)^t
A(t) = Pe^rt
a logarithm with base 10
logarithmic function
the inverse of an exponential function
Exponential Growth and Decay Model
A(t) = a(1+r)^t
48 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
11 terms
Algebra 2, Chapter 7
Exponential function
Exponential growth function
Growth/decay factor
Asymptote
function with equation of the form y = abx
exponential function where a > 0 and b > 1
b value in exponential function
line that a graph approaches but never crosses
Exponential function
function with equation of the form y = abx
Exponential growth function
exponential function where a > 0 and b > 1
7 terms
Algebra I Honors: Chapter 7-1--7-5 (Omit 7-2) Properties.
Property Of Zero Exponents
Property Of Negative Exponents
Product Of Powers
Power Of A Power
Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…
Negative Exponent: For every nonzero number a and integer n,…
Words: To multiply powers with the same base add the exponent…
Words: To raise a power to a power, multiply the exponents.... A…
Property Of Zero Exponents
Zero as an Exponent: For every nonzero number a a^0= 1.... Examp…
Property Of Negative Exponents
Negative Exponent: For every nonzero number a and integer n,…
17 terms
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
17 terms
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
19 terms
Algebra Geometry Honors 1 Chapter 7 Vocabulary
Common Solution
Consistent
Cramer's Rule
Demand
In a system of linear equations, a solution that is true for…
In a system of linear equations, a solution that is true for…
A formula for solving a system of two linear equations using…
How much of a product people want.
Common Solution
In a system of linear equations, a solution that is true for…
Consistent
In a system of linear equations, a solution that is true for…
26 terms
Chapter 7.2: Matrix Algebra
m x n matrix
element/ entry
row subscript
column subscript
...
...
...
...
m x n matrix
...
element/ entry
...
10 terms
Chapter 7, Algebra 2
exponential function
exponential growth function
asymptote
exponential growth model
A function where the base is a constant and the exponent is t…
f(x) = b^x, where b > 1.
A line that the graph of the function approaches.
A(t) = a(1 + r)^t, used to find the amount A(t) after t time…
exponential function
A function where the base is a constant and the exponent is t…
exponential growth function
f(x) = b^x, where b > 1.
14 terms
Davidson: Honors Algebra 1 Chapter 7 Vocab.
scientific method
index
monomial
degree of a monomial
a method of writing numbers that are very large or very small…
the small number to the left of the radical symbol that tells…
a number, variable, or a product of numbers and variables wit…
the sum of the exponents of the variables
scientific method
a method of writing numbers that are very large or very small…
index
the small number to the left of the radical symbol that tells…
26 terms
Honors Algebra 3-4 Chapter 7
The law of sine
The law of sine area formula
When finding a large angle in law of s…
The law of cosine
sinA/a = sinB/b
1/2 absinC
Subtract angle from 180,
c^2 = a^2 + b^2 -2(a)(b)cosC
The law of sine
sinA/a = sinB/b
The law of sine area formula
1/2 absinC
25 terms
Algebra 2 Chapter 7 Vocabulary
asymptote
Change of Base Formula
common logarithm
compound interest
...
...
...
...
asymptote
...
Change of Base Formula
...
27 terms
Honors Algebra II - Chapter 2 Vocabulary
Parent Function
Line of Best Fit
Scatterplot
Reflection
Simplest form of a set of functions that form a family
The trend line that finds the most accurate model of related…
Graph that relates two different sets of data by plotting the…
Flips the graph of a function across a line
Parent Function
Simplest form of a set of functions that form a family
Line of Best Fit
The trend line that finds the most accurate model of related…
37 terms
Algebra 2 Honors
polynomials
square a number
first difference
second difference
an expression of more than 2 algebraic terms.
...to multiply a number by itself or to raise it to the power…
Values obtained by subtracting each term in a sequence from i…
Differences that are found by subtracting consecutive first d…
polynomials
an expression of more than 2 algebraic terms.
square a number
...to multiply a number by itself or to raise it to the power…
10 terms
LAP 7 Honors Algebra 2
What is the equation for direct variat…
What is the equation for indirect vari…
What is the equation for joint variati…
What is the equation for y varies inve…
y=ax
y=(a/x)
z=kxy
y=a/x²
What is the equation for direct variat…
y=ax
What is the equation for indirect vari…
y=(a/x)
10 terms
Chapter 7 Algebra 2
Exponential Growth Formula
Exponential Decay Formula
Compound Interest
Continuously Compound Interest
Addition Sign:
Subtraction Sign:
Exponential Growth Formula
Addition Sign:
Exponential Decay Formula
Subtraction Sign:
15 terms
Chapter 7 Algebra 2 vocab
cyclic
30-60-90 triangle
45-45 triangle
Pythagorean Identity
Occurring in cycles or regularly repeated.
For trigonometric functions, cos2x + sin2x = 1 for any value…
cyclic
Occurring in cycles or regularly repeated.
30-60-90 triangle
8 terms
Honors Algebra 2: Chapter 1 Vocabulary
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
Chapter 1 (p. 67, 1-9)... PARENT FUNCT…
Chapter 1 (p. 21, 1-3)... RADICAL SYMBOL
Chapter 1 (p. 6, 1-1)... ELEMENT
Chapter 1 (p. 45, 1-6)... FUNCTION
22 terms
Honors Algebra 2 Chapter 1
y=x²
-b/2a
Quadratic Function
Parabola
Parent function of quadratic functions
Equation to find vertex
A function that can be written in standard form
The graph of a quadratic function
y=x²
Parent function of quadratic functions
-b/2a
Equation to find vertex
13 terms
Honors Algebra - Chapter 7 - Vocab/Rules (Bro. Charles)
Motion in same direction
Motion in the opposite direction
Round Trip
1. Insufficient information... 2. Inconsi…
The type of uniform motion problem in which distances must be…
The type of uniform motion problem in which times must be equ…
The type of uniform motion problem in which distance out equa…
An application may not have a solution if there is:
Motion in same direction
The type of uniform motion problem in which distances must be…
Motion in the opposite direction
The type of uniform motion problem in which times must be equ…
17 terms
Algebra 2: Chapter 7 Vocabulary
exponential function
exponential growth function
growth factor
asymptote
a function of the form y = ab° , where a ≠ 0, b > 0, and b ≠ 1
If a > 0 and b > 1, then the function y = ab° is an exponenti…
The quantity b in the exponential growth function y = ab° wit…
A line that a graph approaches more and more closely.
exponential function
a function of the form y = ab° , where a ≠ 0, b > 0, and b ≠ 1
exponential growth function
If a > 0 and b > 1, then the function y = ab° is an exponenti…
14 terms
Algebra 2 Chapter 7
Composite Function
Index
Inverse Functions
Inverse Relation
A combination of two functions.
Indicates the degree of the root.
if a function A pairs with a value B with A, then its inverse…
A relationship in which one variable decreases when another v…
Composite Function
A combination of two functions.
Index
Indicates the degree of the root.
13 terms
Algebra 2 ~ Chapter 7
asymptote
Change of Base Formula
Continuously Compounded Interest
common logarithm
a straight line that is the limiting value of a curve or grap…
the formula to evaluate a logarithm with any base. [p. 464]
the formula for calculating interest over an annual rate. [p.…
a logarithm with base 10. [p. 453]
asymptote
a straight line that is the limiting value of a curve or grap…
Change of Base Formula
the formula to evaluate a logarithm with any base. [p. 464]
15 terms
Algebra 2 Chapter 7
Composition of functions
Degree of a polynomial
Depressed polynomial
End behavior
A function is performed, and then a second function is perfor…
The greatest exponent of the variable of the polynomial
The quotient when a polynomial is divided by one of its binom…
The behavior of a graph as X approaches positive infinity or…
Composition of functions
A function is performed, and then a second function is perfor…
Degree of a polynomial
The greatest exponent of the variable of the polynomial
21 terms
Chapter 7 vocabulary Algebra
Asymptote
Change of base formula
Common logarithm
Compound interest
A line that a graph approaches
For all positive numbers a, b, and n, where a=/ 1 and b=/ 1,…
Logarithms that use 10 as the base
Interest paid on the principle of an investment and any previ…
Asymptote
A line that a graph approaches
Change of base formula
For all positive numbers a, b, and n, where a=/ 1 and b=/ 1,…
15 terms
Algebra 2 Chapter 7
Composition of Functions
Degree of a Polynomial
Depressed Polynomial
End Behavior
The combination of functions. The second function is performe…
The greatest exponent of its variable.
When you divide a polynomial by one of its binomial factors,…
The behavior of the graph as x approaches positive infinity o…
Composition of Functions
The combination of functions. The second function is performe…
Degree of a Polynomial
The greatest exponent of its variable.
14 terms
Chapter 7 Algebra 2
discriminant
2 imaginary
2 real rational
2 real irrational
b ² - 4ac
if discriminant < 0
if discriminant > 0, is an exponent
if discriminant > 0, is not an exponent
discriminant
b ² - 4ac
2 imaginary
if discriminant < 0
Honors algebra 2 test 7
Optimization
Linear programming
Objective function
Constraints
Finding a maximum or minimun value of some quantity
Process of optimizing a linear objective function subject to…
The linear function that is being optimized ... Ex: p=2x+3y
A system of linear inequalities
Optimization
Finding a maximum or minimun value of some quantity
Linear programming
Process of optimizing a linear objective function subject to…
17 terms
Honors Algebra 2 Unit 7 - Exponential and Logarithmic Functions
Exponential Function
Exponential Growth Function
Growth Factor
Asymptote
a function of the form f(x) = ab^x, where a and b are real nu…
A function of the form y=ab^x, where b is greater than 1 and…
In the function y=ab^x, b is the growth factor.
A line that a graph approaches more and more closely, but nev…
Exponential Function
a function of the form f(x) = ab^x, where a and b are real nu…
Exponential Growth Function
A function of the form y=ab^x, where b is greater than 1 and…
16 terms
Honors Bio Chapter 7.2, 7.4
Osmosis
Active Transport
Phospholipid Bilayer
Selective Permeability
Diffusion of water across a selectively permeable membrane. |…
Energy-requiring process by which substances move across the…
Plasma membrane layers composed of phospholipid molecules arr…
Property of the plasma membrane that allows it to control the…
Osmosis
Diffusion of water across a selectively permeable membrane. |…
Active Transport
Energy-requiring process by which substances move across the…
11 terms
Algebra 2; Chapter 7
log mn=log m+log n
log m/n=log m-log n
log m^n=nlog m
as the value of x increases, the value…
Product Property
Quotient Property
Power Property
exponential growth
log mn=log m+log n
Product Property
log m/n=log m-log n
Quotient Property
29 terms
Chapter 1 Vocab Algebra 2 Honors
opposite of a number
algebraic expression
power
variable
the opposite or additive inverse of any number
an expression that consists of numbers, variables, operations…
an expression that represents repeated multipulcation of the…
a letter that is used to represent one or more numbers
opposite of a number
the opposite or additive inverse of any number
algebraic expression
an expression that consists of numbers, variables, operations…
59 terms
Algebra 2 Chapter 7
monomial
constant
coefficient
degree of a monomial
A numeral, variable, or product of a numeral and one or more…
A monomial with no variables.
The numerical factor of a monomial.
The sum of the exponents of the variables in the monomial. Th…
monomial
A numeral, variable, or product of a numeral and one or more…
constant
A monomial with no variables.
27 terms
Honors Algebra 2 Chapter 2
Function
One to one
Many to one
Discrete
Each x value is paired with only one y value (vertical line t…
Each domain element goes to a unique range element
Many domain elements go to the same range element
Each domain element is an individual point (dots)
Function
Each x value is paired with only one y value (vertical line t…
One to one
Each domain element goes to a unique range element
47 terms
Algebra 2 honors FSA EOC
Standard Deviation
Logarithm Solution
Standard form
Vertex Form
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
Ax^2+Bx+C=0
Y=(x-h)^2+k (h,k)... (h, k) is the vertex
Standard Deviation
o= √(1st #-mean)^2+....(Last #-mean)^2/n... n= number of terms…
Logarithm Solution
15^3x=6000... log15^3x=log285 (log 10 of each side)... 3xlog15=log2…
29 terms
HONORS ALGEBRA 2: Chapter 2
Cartesian coordinate plane
Cartesian coordinate system
quadrants go (clockwise/counterclockwi…
relation
the part with all positive numbers
composed of the x-axis (horizontal) and the y-axis (vertical)
counterclockwise
set of ordered pairs
Cartesian coordinate plane
the part with all positive numbers
Cartesian coordinate system
composed of the x-axis (horizontal) and the y-axis (vertical)
37 terms
HONORS ALGEBRA 2: Chapter 5
A _ is an expression that is a number,…
Monomials can't contain:
_ are monomials that contain no variab…
The numerical factor of a monomial is…
monomial
1. addition or subtraction... 2. variables in denominators... 3. ex…
constants
coefficient
A _ is an expression that is a number,…
monomial
Monomials can't contain:
1. addition or subtraction... 2. variables in denominators... 3. ex…
8 terms
Algebra 2- Chapter 7
composition of functions
conjugates
extraneous solution
index
the results of one function are used to evaluate another func…
radical binomials of opposite operations used to rationalize…
solutions found that do not work in the given problem
number indicates the root to be taken, ie square root, cube r…
composition of functions
the results of one function are used to evaluate another func…
conjugates
radical binomials of opposite operations used to rationalize…
28 terms
Algebra 2 Honors/IB Chapter 13 Vocabulary
trigonometry
trigonometry function
sine
cosine
the study of the relationships among the angles and sides of…
function that relates the angle of a triangle to the length o…
opposite/hypotenuse
adjacent/hypotenuse
trigonometry
the study of the relationships among the angles and sides of…
trigonometry function
function that relates the angle of a triangle to the length o…
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