#### Study sets matching "algebra ii honors chapter 7"

#### Study sets matching "algebra ii honors chapter 7"

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

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…

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…

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"

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…

scientific notation

index

monomial

degree of a monomial

a method of writing very large numbers or very small numbers…

in the radical the number not inside the house

a number or a product of number and variable w whole number e…

the sum of the exponents of the variable in the monomial

scientific notation

a method of writing very large numbers or very small numbers…

index

in the radical the number not inside the house

rule for arithmetic sequence

rule for sum of arithmetic sequence

rule for geometric sequence

rule for sum of geometric sequence

an = a₁ + (n-1)d

Sn = n((a₁ + an)/2)

an = a₁(r)ⁿ⁻¹

Sn = a₁((1-rⁿ)/(1-r))

rule for arithmetic sequence

an = a₁ + (n-1)d

rule for sum of arithmetic sequence

Sn = n((a₁ + an)/2)

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

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)

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…

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…

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

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,…

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

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

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]

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]

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.

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…

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…

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…

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, a0 = 1. Any nonzero number raised t…

For any real number A is not equal to 0 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.

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…

Asymptote

Exponential function

Exponential growth

Exponential equation

A horizontal or vertical line that the graph of a function ap…

A function like y=5ⁿ, where the base is a constant and the ex…

Function of the form f(x)=bⁿ where b>1

An equation that has variables that occur as exponents

Asymptote

A horizontal or vertical line that the graph of a function ap…

Exponential function

A function like y=5ⁿ, where the base is a constant and the ex…

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…

Sine of an angle

Cosine of an angle

Tangent of an angle

Cosecant of an angle

the ratio the length of the side opposite to the length of th…

the ratio of the length of the side adjacent to the length of…

the ratio of the length of the side opposite to the length of…

the ratio of the length of the hypotenuse to the length of th…

Sine of an angle

the ratio the length of the side opposite to the length of th…

Cosine of an angle

the ratio of the length of the side adjacent to the length of…

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.

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]

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…

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

Absolute value

Axes

Base of a power

binomial

the distance from 0 on the number line

x & y axis intersecting at the origin (0,0)

the repeated factor of the power

a polynomial with 2 terms

Absolute value

the distance from 0 on the number line

Axes

x & y axis intersecting at the origin (0,0)

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.

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,…

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…

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…

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)

compound interest

decay factor

exponential decay

exponential function

interest earned on both the principal amount and any interest…

1 minus the percent rate of change, expressed as a decimal, f…

an exponential function with a decay factor. [p. 485]

a function of the form f(x) = ab^x, where a and b are real nu…

compound interest

interest earned on both the principal amount and any interest…

decay factor

1 minus the percent rate of change, expressed as a decimal, f…

Addition Rule

Product Rule

Power Rule

Quotient Rule

different exponent: a^m+a^n=a^m+a^n... same exponent: ... a^m+a^m=2…

a^m*a^n=a^m+n

power of a power: (a^m)^n=a^m*n... power of multiplied bases:... (a…

If m>n: a^m/a^n= a^m-n... If m<n: a^m/a^n= 1/a^n-m

Addition Rule

different exponent: a^m+a^n=a^m+a^n... same exponent: ... a^m+a^m=2…

Product Rule

a^m*a^n=a^m+n