Unit 2 - Functions

f(x) = x

Linear

f(x) = |x|

Absolute Value

f(x) = x^2

Quadratic

f(x) = x^3

Cubic

f(x) = 2^x

exponential

f(x) = √x

square root

maximum

the highest Y-VALUE on a graph

minimum

the lowest Y-VALUE on a graph

domain

the set of all of x-values (LEFT to RIGHT)

range

the set of all of y-values (DOWN to UP)

increasing

the INTERVAL where the X-VALUES have a positive slope

decreasing

the INTERVAL where the X-VALUES have a negative slope

turning point

where a graph changes slopes

x-intercept

the point(s) where the graph crosses the x-axis

zeros

the x-coordinate of the x-intercept

y-intercept

the point(s) where the graph crosses the y-axis

linear

a graph that makes a straight line

non-linear

a graph that is not in a straight line

axis of symmetry

the line that divides a graph into two mirror images of each other

slope/average rate of change

change in y-values divided by the change in x-values

f(x) + 3

translate f(x) up 3

f(x) - 3

translate f(x) down 3

f(x+3)

translate left 3

f(x-3)

translate right 3

-f(x)

reflect over the x-axis