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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…

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

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"

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)

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…

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…

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

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

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

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…

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

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,…

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]

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…

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…

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…

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…

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…

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…

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]

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

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,…

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.

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…

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…

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…

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…

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.

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

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…

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)

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…

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…

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…