Things to Memorize for AP Precalc

linear

f(x) is best modeled by a ____ function because the average rate of change over consecutive equal length input intervals is constant

quadratic

f(x) is best modeled by a _____ function because the change in the average rate of change over consecutive equal length input value intervals is constant

exponential

f(x) is best modeled by an _____ function because the output values over consecutive equal-length input value intervals are proportional

logarithmic

f(x) is best modeled by an _____ function because the input values over consecutive equal length output value intervals are proportional

g(x)=f(x/5)

g(x) is a horizontal dilation of f(x) by a factor of 5

g(x)=2f(x)

g(x) is a vertical dilation of 2 of f(x)