# Study sets matching "college algebra"

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Algebraic expression

Associative property of addition

Associative property of multiplication

Base

constants and variables combined using addition, subtraction,…

the sum of three numbers may be grouped differently without af…

the product of three numbers may be grouped differently withou…

in exponential notation, the expression that is being multipli…

Algebraic expression

constants and variables combined using addition, subtraction,…

Associative property of addition

the sum of three numbers may be grouped differently without af…

Set the function equal to zero and solv…

The degree of a polynomial that is not…

Let y or f(x) = 0 and solve for x. Writ…

Let x = 0 and solve for y. Write your a…

How do you find the zeros of a function algebraically?

What is the degree of a polynomial?

How do you find x-intercepts of a polynomial?

How do you find y-intercepts of a polynomial?

Set the function equal to zero and solv…

How do you find the zeros of a function algebraically?

The degree of a polynomial that is not…

What is the degree of a polynomial?

(when finding domain) Fraction:

(when finding domain) Square root in th…

(when finding domain) Square root in th…

When doing proofs use...

set the denominator =0

set the inside greater than or =0

set the inside >0

f(f-1 (x) ) and f-1(f (x) )

(when finding domain) Fraction:

set the denominator =0

(when finding domain) Square root in th…

set the inside greater than or =0

Variable

Expression

Equation

Algebraic

A letter which represents or stands for in a value

A combination of variables, numbers and operators

Two expressions joined by an equal sign

An expression that does not contain words

Variable

A letter which represents or stands for in a value

Expression

A combination of variables, numbers and operators

Part A.) 1.) Find the coordinates of th…

Part A.) 2.) Determine the axis of symm…

Part A.) 3.) Find all zeros of the func…

Part A.) 4.) Describe the end-behavior…

d. (-6,2)

c. x=-8

b. x=-3,i,-i

b. the graph falls on both the left and right.

Part A.) 1.) Find the coordinates of th…

d. (-6,2)

Part A.) 2.) Determine the axis of symm…

c. x=-8

Vertical Line Test

Even Function

Odd Function

Difference Quotient

if any vertical line intersects a graph in more than one point…

f(-x) = f(x), reflected over y-axis

f(-x) = -f(x), reflected over x-axis

1. find f(x+h)... 2. simplify f(x+h) - f(x)... 3. divide the result…

Vertical Line Test

if any vertical line intersects a graph in more than one point…

Even Function

f(-x) = f(x), reflected over y-axis

A set

Elements or members

∈

set braces

A collection of objects

The objects that belong to a set; In algebra they are usually…

Means a number is an element of a set (4∈{1,2,3,4})

{a,b,c} set braces are used to show a set

A set

A collection of objects

Elements or members

The objects that belong to a set; In algebra they are usually…

when graphing an absolute value function

Absolute value = Positive number

Absolute value = Negative number

Absolute value = 0

Reflect portion of the graph that falls below the x-axis. So e…

two solutions; write equation without absolute and set equal t…

No solution

One solution; set equation without absolute equal to 0 and sol…

when graphing an absolute value function

Reflect portion of the graph that falls below the x-axis. So e…

Absolute value = Positive number

two solutions; write equation without absolute and set equal t…

Degree of a polynomial

Coefficient

Zeros

Multiplicity

The highest degree of any term of the polynomial

A number multiplied by a variable in an algebraic expression.

X values that make the polynomial zero

...

Degree of a polynomial

The highest degree of any term of the polynomial

Coefficient

A number multiplied by a variable in an algebraic expression.

f (x) = x: linear function

f (x) = X^2: quadratic function

f (x) = X ^ 3: cubic function

f (x) = sqrt (x): square root function

Domain: ( - infinity, infinity), Range: ( - infinity, infinity)

Domain: ( - infinity, infinity), Range: ( 0, infinity)

Domain: ( - infinity, infinity) Range: (- infinity, infinity)

Domain: [0, infinity), Range: [0, infinity)

f (x) = x: linear function

Domain: ( - infinity, infinity), Range: ( - infinity, infinity)

f (x) = X^2: quadratic function

Domain: ( - infinity, infinity), Range: ( 0, infinity)

Set:

Element or member:

Natural numbers:

Whole numbers:

A collection of objects. Can be related or completely unrelate…

Each individual item belonging to a set.... Sets are usually capi…

Counting numbers.... Ex: {1,2,3,4,...}

Zero is included in the set of whole numbers.... Ex: {0,1,2,3,4,.…

Set:

A collection of objects. Can be related or completely unrelate…

Element or member:

Each individual item belonging to a set.... Sets are usually capi…