#### Study sets matching "college algebra"

#### Study sets matching "college algebra"

Domain

Range

Composition

Piece-wise Functions

The domain of a relationship is the set of all it's first cor…

The range of a relationship is the set of all it's second cor…

The composition of two functiona f and g written as FoG

Something "IF" condition met... ... Something else "IF" other cond…

Domain

The domain of a relationship is the set of all it's first cor…

Range

The range of a relationship is the set of all it's second cor…

Expression

Linear Expression

Equation

Linear Equation

Any combo of numbers, variables, and mathematical operations

An expression in which the only operations involving variable…

A mathematical statementtbat two expressions are equal

An equation containing only linear expressions

Expression

Any combo of numbers, variables, and mathematical operations

Linear Expression

An expression in which the only operations involving variable…

the sum/product of 2 real numbers=real…

we may group addition or multiplicatio…

we may multiply or add numbers in any…

you can add 0 to any number

Closure

Associative

Commutative

Additive identity

the sum/product of 2 real numbers=real…

Closure

we may group addition or multiplicatio…

Associative

Identity Function ... y=x

Squaring Function ... y=x^2

Cubing Function ... y=x^3

Square Root Function... y=-/x

y=x ... Domain: (-Infinity, +infinity)... Range: (-Infinity, +infin…

y=x^2... Domain: (-Infinity, +infinity)... Range: [0, +infinity)... x:…

y=x^3... Domain: (-Infinity, +infinity)... Range: (-infinity, +infi…

y=-/x... Domain: [0, +infinity)... Range: [0, +infinity) ... x: 0, 1,…

Identity Function ... y=x

y=x ... Domain: (-Infinity, +infinity)... Range: (-Infinity, +infin…

Squaring Function ... y=x^2

y=x^2... Domain: (-Infinity, +infinity)... Range: [0, +infinity)... x:…

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…

Variable

Expression

Equation

Algebraic

A letter which represents or stands for 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 a value

Expression

A combination of variables, numbers and operators

Graph parabola. Give vertex, axis, dom…

Graph parabola. Give vertex, axis, dom…

Regular synthetic division ... Ex. 2r^3+1…

value K involved ... a polynomial form ... 1…

v=part within squared (x+3) or (x) is the X value, the rest i…

v=-b/2a=x value ... then plug that into the equation to receive…

regular division with -3 on outside ... remainder with r+3 on bo…

(x-3)(12x+16)+51... Synthetic division ... K value ... remainder at th…

Graph parabola. Give vertex, axis, dom…

v=part within squared (x+3) or (x) is the X value, the rest i…

Graph parabola. Give vertex, axis, dom…

v=-b/2a=x value ... then plug that into the equation to receive…

Square Root Property

Completing the Square

Discriminant

Negative

take the square roots of both sides

1. coefficient = 1... 2. move number to the other side ... 3. compl…

b^2 - 4ac

two complex roots

Square Root Property

take the square roots of both sides

Completing the Square

1. coefficient = 1... 2. move number to the other side ... 3. compl…

Natural/ counting #

Whole number

Integers

Rational #

Start at 1 and goes up ( whole number )

Include 0 ( still no negative )

Include negatives...no fractions/ decimals

Can be converted into a fraction

Natural/ counting #

Start at 1 and goes up ( whole number )

Whole number

Include 0 ( still no negative )

Rational and irrational

Integer, fractions, and decimals

Positive and negative

Proper, improper, and mixed

What are the two categories under real numbers?

What are the three categories under rational numbers?

Two types of integers

Three types of fractions

Rational and irrational

What are the two categories under real numbers?

Integer, fractions, and decimals

What are the three categories under rational numbers?

Foil

Imaginary unit

Vertical line test

Coefficient

Method for multiplying 2 binomials (first,outer,inner,last)

The number i when i equals the square root of -1

Visual test to determine if a graph is a function

Number preceding variable

Foil

Method for multiplying 2 binomials (first,outer,inner,last)

Imaginary unit

The number i when i equals the square root of -1

Information age

Induction

Mentoring

No Child Left Behind Act

The current age in which information and its management are c…

Years one to three of full time teaching.

An experienced professional helping a less experienced collea…

A federal law passed in 2001 that sets goals for achievement…

Information age

The current age in which information and its management are c…

Induction

Years one to three of full time teaching.

Set Notation

N={1,2,3,4,5,6,...}

W={1,2,3,4,5,6,...}

Z+={1,2,3,4,5,6,...}

Set is a well-defined as collection of numbers in objects

set of NATURAL numbers

set if WHOLE numbers

set of positive integers

Set Notation

Set is a well-defined as collection of numbers in objects

N={1,2,3,4,5,6,...}

set of NATURAL numbers

Annual percentage rate (APR)

Carrying capacity

Change-of-base formula

Common logarithm

the yearly interest rate earned by an investment account, als…

in a logistic model, the limiting value of the output

a formula for converting a logarithm with any base to a quoti…

the exponent to which 10 must be raised to get x; log10 (x) i…

Annual percentage rate (APR)

the yearly interest rate earned by an investment account, als…

Carrying capacity

in a logistic model, the limiting value of the output

Multiple transformations steps:

Equations for multiple graph transform…

Discriminant

Equation for slope

1. shift left by d... 2. scale horizontally by 1/c... 3. if γ = -…

f(x)= (betafish)af (γcx + d) + b

b²- 4ac

y=mx+b

Multiple transformations steps:

1. shift left by d... 2. scale horizontally by 1/c... 3. if γ = -…

Equations for multiple graph transform…

f(x)= (betafish)af (γcx + d) + b

What is absolute value?

How many equations will be developed f…

If you divide an inequality equation b…

How many ways are there to solve a sys…

Distance from zero of a number.

Two

Flip the inequality

Three graphing, substitution and elimination. In a CLEP exam,…

What is absolute value?

Distance from zero of a number.

How many equations will be developed f…

Two

What are natural numbers?

What are whole numbers?

What are integers?

What are rational numbers?

A number from the set {1, 2, 3, ...}

A number from the set {0, 1, 2, 3, ...}

The set of natural numbers, the negative natural numbers, and…

A number that can be expressed as a/b, the ratio of two inter…

What are natural numbers?

A number from the set {1, 2, 3, ...}

What are whole numbers?

A number from the set {0, 1, 2, 3, ...}

Tangent

What does pi represent

The _______ of the slope determines th…

The sign of the slope determines the _…

A straight line that touches a curved line at one point

Circumference/Diameter

Sign

Direction

Tangent

A straight line that touches a curved line at one point

What does pi represent

Circumference/Diameter

V=1/3S(sq)H

PV=nRT

9, add, divide by

2, divide, h, subtract (the subtracted…

What is the formula for volume? (Use sq for squared)

Where: P is pressure V is volume n is the number of moles of…

To solve for "F" in formula: C=5/9(F-32), first multiply both…

To solve for B: A=1/2(B+b)h. First multiply both sides by __(…

V=1/3S(sq)H

What is the formula for volume? (Use sq for squared)

PV=nRT

Where: P is pressure V is volume n is the number of moles of…

Arrow notation

Axis of symmetry

Coefficient

Constant of variation

a way to represent symbolically the local and end behavior of…

a vertical line drawn through the vertex of a parabola, that…

a nonzero real number multiplied by a variable raised to an e…

the non-zero value k that helps define the relationship betwe…

Arrow notation

a way to represent symbolically the local and end behavior of…

Axis of symmetry

a vertical line drawn through the vertex of a parabola, that…

Set

Element

What does "k ∈ A" mean?

What does "k ∉ A" mean?

A set is defined as a collection of objects.

Each individual item belonging to a set is called an element…

It means that "k" is an element of set "A".

It means that "k" is not an element of set "A".

Set

A set is defined as a collection of objects.

Element

Each individual item belonging to a set is called an element…

If the domain of the function f is not…

In calculus, one of the basic definiti…

It is used to determine whether the gr…

The values for which f(x)=0

Implied Domain

Difference Quotient

Vertical Line Test

zeros

If the domain of the function f is not…

Implied Domain

In calculus, one of the basic definiti…

Difference Quotient

solution

discriminant, negative

second-degree

intercepts

an admissible value for the variable that makes the equation…

the quantity b2-4ac is called the what of a quadratic equatio…

a quadratic equation is sometimes called a what equation

the points if any at which a graph crosses or touches the coo…

solution

an admissible value for the variable that makes the equation…

discriminant, negative

the quantity b2-4ac is called the what of a quadratic equatio…