# Study sets matching "acc math i functions"

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Quadratic Function

Standard Form

Vertex Form

Factored Form

A function that can be written in the form f(x)=ax² + bx + c,…

When the terms of a polynomial are arranged from the largest e…

A quadratic function where (h,k) is the vertex of the parabola…

An algebraic expression written as the product of the factors.

Quadratic Function

A function that can be written in the form f(x)=ax² + bx + c,…

Standard Form

When the terms of a polynomial are arranged from the largest e…

Dependent Variable

Independent Variable

Domain

Range

The variable that changes in response to another variable.

The variable that influences another variable.

The set of input values of a function.

The set of output values of a function.

Dependent Variable

The variable that changes in response to another variable.

Independent Variable

The variable that influences another variable.

base

exponent/power

exponential function

exponential growth

A number being raised to a power/exponent.

A number indicating the number of times a base is multiplied b…

A function in which an independent variable appears as an expo…

An increasing exponential function of the form f(x) = a*b^x in…

base

A number being raised to a power/exponent.

exponent/power

A number indicating the number of times a base is multiplied b…

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Arithmetic Sequence

Average rate of change

Coefficient

Common Difference

An ordered list of numbers that increases or decreases at a co…

The change in the y-value divided by the change in the x-value…

A number multiplied by a variable in an algebraic expression.

The constant difference between consecutive terms in a sequence

Arithmetic Sequence

An ordered list of numbers that increases or decreases at a co…

Average rate of change

The change in the y-value divided by the change in the x-value…

Exponential DECAY graphs

Exponential GROWTH graph

"multiplying by the same amount" means.…

"adding by the same amount" means...

Decay goes down

Growth goes up

The equation or data is an EXPONENTIAL function

The equation or data is a LINEAR function

Exponential DECAY graphs

Decay goes down

Exponential GROWTH graph

Growth goes up

coordinate plane

Origin

x-axis

y-axis

a plane with a horizontal number line (x axis) and vertical nu…

The center of the coordinate plane located at (0, 0)

the horizontal axis of the coordinate plane

the vertical axis of the coordinate plane.

coordinate plane

a plane with a horizontal number line (x axis) and vertical nu…

Origin

The center of the coordinate plane located at (0, 0)

m = 2 and b = 1

m = 1 and b = 2

plot the y-intercept

use slope which is rise/run to count an…

In this graph what are the slope and y-intercept?

In this equation what are the slope and y-intercept y = x + 2

When graphing in y=mx+b form we _____________ first

To find more points after we plot the y-intercept we _______

m = 2 and b = 1

In this graph what are the slope and y-intercept?

m = 1 and b = 2

In this equation what are the slope and y-intercept y = x + 2

Sets

Relations

Functions

Function

Collection of distinct objects

A set where the objects are ordered pairs... Ex: {(2,3), (4,5), (…

A special relation or set that says for each value of X series…

{(2,3), (4,7), (-2,3)}

Sets

Collection of distinct objects

Relations

A set where the objects are ordered pairs... Ex: {(2,3), (4,5), (…

dependent variable

domain

function

function notation

labeled on the y-axis; the quantity that is based on the input…

the set of all inputs of a function, the set of x-values that…

a relation in which every element of the domain is paired with…

a way to name a function using f(x) instead of y

dependent variable

labeled on the y-axis; the quantity that is based on the input…

domain

the set of all inputs of a function, the set of x-values that…

Exponential Function

Initial Value of an Exponential Function

Exponential Growth Function

Exponential Decay Function

a function that can be described by an equation of the form y=…

the amount before measuring growth or decay ... "a"

A function of the form y= ab^x, where a>0 and b>1

A function of the form f(x) = ab^x, where a>0 and 0<b<1.

Exponential Function

a function that can be described by an equation of the form y=…

Initial Value of an Exponential Function

the amount before measuring growth or decay ... "a"

slope-intercept form

y=mx+b

point-slope form

y-y1=m(x-x1)

y=mx+b

Steps to graph:... *plot-intercept... * use slope intercept (rise/ru…

y-y1=m(x-x1)

steps to graph:... *graph point (x1,y1)... * use slope (rise/run) to…

slope-intercept form

y=mx+b

y=mx+b

Steps to graph:... *plot-intercept... * use slope intercept (rise/ru…

Linear Function

Exponential Function

Quadratic Function

Recursive

a function that creates a straight line when graphed

A function that repeatedly multiplies an initial amount by the…

A function in which the greatest power of the variable is 2.

formula that requires the computation of all previous terms in…

Linear Function

a function that creates a straight line when graphed

Exponential Function

A function that repeatedly multiplies an initial amount by the…

Function

Continuous Graph

Discrete Graph

Dependent Variable

each value of the Input variable is associated with a unique v…

allows the x-values to be ANY points in the interval, includin…

allows the x-values to be ONLY CERTAIN points in the interval,…

a variable (often denoted by y ) whose value depends on that o…

Function

each value of the Input variable is associated with a unique v…

Continuous Graph

allows the x-values to be ANY points in the interval, includin…

Dependent Variable

Independent Variable

Domain

Range

The variable that changes in response to another variable.

The variable that influences another variable.

The set of input values of a function.

The set of output values of a function.

Dependent Variable

The variable that changes in response to another variable.

Independent Variable

The variable that influences another variable.

function

slope

y-intercept

linear function

A relationship that assigns exactly one output value to one in…

rate of change

initial value

a function that creates a straight line when graphed, which ca…

function

A relationship that assigns exactly one output value to one in…

slope

rate of change

Arithmetic Sequence

Average rate of change

Coefficient

Common Difference

An ordered list of numbers that increases or decreases at a co…

The change in the y-value divided by the change in the x-value…

A number multiplied by a variable in an algebraic expression.

The constant difference between consecutive terms in a sequence

Arithmetic Sequence

An ordered list of numbers that increases or decreases at a co…

Average rate of change

The change in the y-value divided by the change in the x-value…

Input (domain)

Output

A relation

A function

One of the two quantities in a relation the X variable in an e…

One of two quantities in a relation the Y variable in an equat…

Pairs on input with an output

Is a special kind of relation that pairs each input with exact…

Input (domain)

One of the two quantities in a relation the X variable in an e…

Output

One of two quantities in a relation the Y variable in an equat…

base

exponent

same base multiplication exponent rule

negative exponent rule

the factor being multiplied together in an exponential express…

a quantity representing the power to which a given number or e…

x^a x^b=x^(a+b)... (add the exponents)

x^(-n)=1/x^n ... (move the exponent to make it positive)

base

the factor being multiplied together in an exponential express…

exponent

a quantity representing the power to which a given number or e…