# Study sets matching "college algebra functions"

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Constant Function... F(x)=c

Identity Function... F(x)=x

Squaring Function... F(x)=x^2

Cubing Function... F(x)=x^3

D:(-OO,OO)... R:{c}... Increases: (-OO,OO)... Even

D:(-OO,OO)... R:(-OO,OO)... Increases: (-OO,OO)... Odd

D:(-OO,OO)... R:[0,OO)... Increases:(0,OO)... Decreases:(-OO,0)... Odd

D:(-OO,OO)... R:(-OO,OO)... Increases:(-OO,OO)... Odd

Constant Function... F(x)=c

D:(-OO,OO)... R:{c}... Increases: (-OO,OO)... Even

Identity Function... F(x)=x

D:(-OO,OO)... R:(-OO,OO)... Increases: (-OO,OO)... Odd

relation

domain

range

the 5 ways to write a relation

any set of ordered pairs

x-values, independent variables, input

y-values, dependent variables, output

1.) set of ordered pairs: {(1,2), (3,4), (5,6)}... 2.) as a table…

relation

any set of ordered pairs

domain

x-values, independent variables, input

Identity Function

Absolute Value Function

Quadratic Function

Cubic Function

f(X)=X... Domain: (-inf, +inf)... Range: (-inf, +inf)... ODD... SWRT Origi…

f(X)= |x|... Domain: (-inf, +inf)... Range: [0, +inf)... EVEN... SWRT Y-ax…

f(x)=Xsquared... Domain: (-inf, to +inf)... Range: [0, +inf)... EVEN... SW…

f(X)=Xcubed... Domain: (-inf, +inf)... Range: (-inf, +inf)... ODD... SWRT…

Identity Function

f(X)=X... Domain: (-inf, +inf)... Range: (-inf, +inf)... ODD... SWRT Origi…

Absolute Value Function

f(X)= |x|... Domain: (-inf, +inf)... Range: [0, +inf)... EVEN... SWRT Y-ax…

linear function

constant function

identity function

square function

f(x) = mx+b, m and b are real numbers

f(x) = b, b is a real number... even function

f(x) = x... odd function... anchor point is (0,0)... right 1 - up 1... r…

f(x) = x^2... even function... anchor point is (0,0)... left or right…

linear function

f(x) = mx+b, m and b are real numbers

constant function

f(x) = b, b is a real number... even function

Linear Graph

Linear because X is to the first power

Linear Table

Absolute Value Graph

Graph is a straight line

F(X)=4x-3

The function increases or decreases by a constant rate of chan…

Graph is a V shape

Linear Graph

Graph is a straight line

Linear because X is to the first power

F(X)=4x-3

How do you find the domain if the squar…

How do you find the domain if X is on t…

How do find the domain when the square…

How do you find the zeros if there's ju…

Set it greater to or equal to 0. ( x+5_> 0 )

Set both not equal to 0. X-2=/0 and X+2=/0

Set it greater than zero. x+5>0

Factor. (How many x's can you take away from each)

How do you find the domain if the squar…

Set it greater to or equal to 0. ( x+5_> 0 )

How do you find the domain if X is on t…

Set both not equal to 0. X-2=/0 and X+2=/0

Constant Function

Identity Function

Aboslute Value Function

Standard Quadratic Function

f(x) = c... *Domain: (-∞,∞)... *Range: the single number c... *Constant…

f(x) = x... *Domain: (-∞,∞)... *Range: (-∞,∞)... *Increasing on (-∞,∞)…

f(x) = |x|... *Domain: (-∞,∞)... *Range: [0,∞)... *Decreasing on (-∞,0)…

f(x) = x²... *Domain: (-∞,∞)... *Range: [0,∞)... *Decreasing on (-∞,0)…

Constant Function

f(x) = c... *Domain: (-∞,∞)... *Range: the single number c... *Constant…

Identity Function

f(x) = x... *Domain: (-∞,∞)... *Range: (-∞,∞)... *Increasing on (-∞,∞)…

Asymptote

Vertical Asymptote

Horizontal Asymptote

X Intercepts

A line that the function approaches but never touches

Where X will cause 0 in the factored denominator... X = __

If the degree on top is higher = no HA... If the degrees are equa…

Replace Y with 0 and solve for X... Make sure its the X values on…

Asymptote

A line that the function approaches but never touches

Vertical Asymptote

Where X will cause 0 in the factored denominator... X = __

Horizontal Asymptotes.....

1st Rule...

2nd Rule...

3rd Rule...

rules

if the degree (N) < degree (D) then the horizontal asymptote i…

if the degree (N) = degree (D) then the horizontal asymptote y…

if degree(N) > degree (D) then there is no horizontal asymptote

Horizontal Asymptotes.....

rules

1st Rule...

if the degree (N) < degree (D) then the horizontal asymptote i…

Relation

Domain

Range

The 5 ways to write a relation

Any set of ordered pairs

The set of all first components... (X value, independent variable…

The set of all second components ... (Y value, dependent variable…

☆Set of ordered pairs ... {(1/2,3), (2,-3), (4,7), (1,2/3)}... ☆Tabl…

Relation

Any set of ordered pairs

Domain

The set of all first components... (X value, independent variable…

Slope of line

Equation of line: slope-intercept form

Equation of line: point-slope form

Equation of line: intercept form

Give two points (x1, y1) and (x2, y2), m = rise/run

y = mx + b, where m is the slope, b is the y-intercept

Give two points (x1, y1) and (x2, y2), ... (y - y1) = m(x - x1),…

"Given x-intercept a and x/a = y/b = 1 y-intercept b,

Slope of line

Give two points (x1, y1) and (x2, y2), m = rise/run

Equation of line: slope-intercept form

y = mx + b, where m is the slope, b is the y-intercept

Linear ... F(x)= x

Quadratic ... F(x)= x^2

Cubic... F(x)= x^3

Rational inverse... F(x)= 1/x

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Domain: (-🔀,🔀)... Range: [0,🔀)

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Domain: (-🔀,0)U(0,🔀)... Range: (-🔀,0)U(0,🔀)

Linear ... F(x)= x

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Quadratic ... F(x)= x^2

Domain: (-🔀,🔀)... Range: [0,🔀)

Linear ... F(x)= x

Quadratic ... F(x)= x^2

Cubic... F(x)= x^3

Rational inverse... F(x)= 1/x

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Domain: (-🔀,🔀)... Range: [0,🔀)

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Domain: (-🔀,0)U(0,🔀)... Range: (-🔀,0)U(0,🔀)

Linear ... F(x)= x

Domain: (-🔀,🔀)... Range: (-🔀,🔀)

Quadratic ... F(x)= x^2

Domain: (-🔀,🔀)... Range: [0,🔀)

natural numbers

whole numbers

integers

rational numbers

numbers that are part of the set {1, 2, 3, ...}

numbers that are part of the set {0, 1, 2, ...}

numbers that are part of the set {..., -3, -2, -1, 0, 1, 2, 3,…

numbers that can be expressed in the form a/b, where a and b a…

natural numbers

numbers that are part of the set {1, 2, 3, ...}

whole numbers

numbers that are part of the set {0, 1, 2, ...}

Relation

Input

Output

Domain

a correspondence between two sets. When one variable is relate…

a value that replaces X in an equation or function

a value that is made by the outcome of an equation or function

The set of all inputs (x-values) can only be one per output

Relation

a correspondence between two sets. When one variable is relate…

Input

a value that replaces X in an equation or function