# Study sets matching "college algebra"

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complex number

real number

rational number

irrational number

a number of the form a + bi where a and b are real numbers. Co…

numbers that are either rational or irrational. A real number…

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

a number that cannot be expressed as a/b, the ratio of two int…

complex number

a number of the form a + bi where a and b are real numbers. Co…

real number

numbers that are either rational or irrational. A real number…

Inequalities

(-4, 0) ∪ [-2, 1] and (-4, 0) ∩ [-2, 1]

[ ]

( )

If you replace the = sign in an equation with either <, >, ≤,…

(-4, 1] due to having both from ∪ and [-2, 0) due to having th…

Used for ≤ and ≥.

Used for < and >.

Inequalities

If you replace the = sign in an equation with either <, >, ≤,…

(-4, 0) ∪ [-2, 1] and (-4, 0) ∩ [-2, 1]

(-4, 1] due to having both from ∪ and [-2, 0) due to having th…

(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

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?

What is absolute value?

How many equations will be developed fr…

If you divide an inequality equation by…

How many ways are there to solve a syst…

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 fr…

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 interg…

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, ...}

Absolute value equation

Area

Cartesian coordinate system

Completing the square

an equation in which the variable appears in absolute value ba…

in square units, the area formula used in this section is used…

a grid system designed with perpendicular axes invented by Ren…

a process for solving quadratic equations in which terms are a…

Absolute value equation

an equation in which the variable appears in absolute value ba…

Area

in square units, the area formula used in this section is used…

Annual percentage rate (APR)

Carrying capacity

Change-of-base formula

Common logarithm

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

in a logistic model, the limiting value of the output

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

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

Annual percentage rate (APR)

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

Carrying capacity

in a logistic model, the limiting value of the output

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 o…

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

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

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 o…

Addition method

Augmented matrix

Break-even point

Coefficient matrix

an algebraic technique used to solve systems of linear equatio…

a coefficient matrix adjoined with the constant column separat…

the point at which a cost function intersects a revenue functi…

a matrix that contains only the coefficients from a system of…

Addition method

an algebraic technique used to solve systems of linear equatio…

Augmented matrix

a coefficient matrix adjoined with the constant column separat…

Angle of rotation

Center of hyperbola

Center of a ellipse

Conic section

an acute angle formed by a set of axes rotated from the Cartes…

the midpoint of both the transverse and conjugate axes of a hy…

the midpoint of both the major and minor axes

any shape resulting from the intersection of a right circular…

Angle of rotation

an acute angle formed by a set of axes rotated from the Cartes…

Center of hyperbola

the midpoint of both the transverse and conjugate axes of a hy…

Absolute maximum

Absolute minimum

Average rate of change

Composite function

the greatest value of a function over an interval

the lowest value of a function over an interval

the difference in the output values of a function found for tw…

the new function formed by function composition, when the outp…

Absolute maximum

the greatest value of a function over an interval

Absolute minimum

the lowest value of a function over an interval

quadratic function

Graphing by plotting points:

Sketch the graph:

if the value of a is less than 0

Create a table of values, plot enough points to see both sided…

Graph with the original, then the new function vertex is (h,k)

the function opens down

quadratic function

Graphing by plotting points:

Create a table of values, plot enough points to see both sided…