Power Functions
Inverse Functions
Function Composition
100

What is the shape of a quadratic function?

What is a u shape?

100

What is an inverse function?

What is a function that reverses or undoes the action of another function?

100

How do you say this notation: g(f(x))?

What is g of f of x?

200

f(x)=x3. g(x)=(x+4)3. What is the transformation?

What is a horizontal transformation of four units left?

200

What is the inverse of f(x)=9x-3?

What is f-1(x)=x+3/9?

200

Consider the functions:f(x)=2x3+3 and g(x)=x-4. Find g(f(x)).

What is 2x3-1?

300

I have a parent function of y=x3. What are the transformations that occur when the function is transformed to y=-(x+2)3-4?

What is 2 units to the left, 4 units down, and a reflection over the x-axis?

300

Given the function f(x)=9x2-12 what is the inverse?

What is g(x)=sqrt(x+12)/3?

300

consider the function f(x)=2x2. What is (f(f(x))?

What is 8x4?
400

The function f(x)=x1/2 is transformed to get function w. w(x)=-(3x)1/2-4. What are the domain and range?

What is domain x>=0 and range 

w(x)=<-4?

400

What is the inverse of  f(x)=sqrt(x)+7?

What is f-1(x)=(x-7)2?

400

consider the functions f and g. f(x)=-x3 and g(x)=l1/8x-1l. What is g(f(4))?

What is 9?