Transforming Functions
Combinations of Functions
Inverse Functions
Piecewise Functions
Function Randomness!!!
100
How has the function f(x)=|x|+4 been transformed? (Be specific! Which direction, how much?)
Vertical shift up 4
100
The domain of the blue function below.
What is (-infinity, -1)
100
The meaning of "one-to-one".
What is each y-value only occurs once?
100
f(5) using the piecewise defined function below
What is 1?
100
You can tell something is a function due to this rule.
What is each input has only one output?
200
An equation for the graph provided. Note: There has been NO stretch or shrink- just shifts/translations.
What is f(x)=(x-3)2-2?
200
f(x)=x+5 and g(x)=|x-6|. Evaluate f(g(2))
What is 9?
200
When given a graph, this test will tell you if the INVERSE is a function.
What is the horizontal line test?
200
On which domain is the piecewise defined function a quadratic?
What is (-infinity, 1]?
200
When given a graph, this test will tell you if it is a function.
What is the vertical line test?
300
The equation for a cubic function that has been shifted left 6, up 5, and has a vertical stretch of 2.
What is f(x)=2(x+6)3+5?
300
f(x)=x2 and g(x)=x+9. The domain of the function below in either set, interval, or algebraic notation.
g(x)/f(x)
What is (-infinity, 0) U (0, infinity)
300
Given the situation, determine if this is one-to-one.
"Each employee has their own desk"
Yes, it is one to one
300
f(-2) using the piecewise defined function below 
What is 3?
300
The following terms can be grouped into 2 groups:
input, domain, independent, range, f(x), output, x, dependent
What are...
Group 1: Input, domain, x, independent
Group 2: Output, range, y, dependent
400
The graph below is this type of function (even or odd) because of this property (how do you know?)
Odd. It is rotated around the origin.
400
If f(x)=x3 and g(x)=1/x, this is g(f(x)).
What is
g(f(x))=1/x^3
400
Given the graph of the function f(x) below, is f-1(x) also a function?
No, it is not one-to-one (fails the horizontal line test)
400
A piecewise defined function such that the graph is linear on (-infinity, 2] and cubic on the interval (2, infinity)
Answers Vary. See the example below: 
400
The domain and range of the function: f(x)=|2x|
What is a domain of (-inf, inf) and a range of [0,inf)
500
The way to test if a function is even or odd is to do this.
Replace x with -x and see if the output is the same (even), opposite (odd), or neither.
500
f(x) is given by the graph below. g(x)=6x. What is g(f(1))?
What is 12?
500
What is the inverse of
g(x)=sqrt(x+3)
What is
x=y^2-3
g^-1(x)=g(x)^2-3
500
A piecewise function for the situation below:
"Ms. Beal's rock climbing membership costs $60 a month. She can go for up to 20 hours. Every hour over this costs $5 per hour."
What is 
500
The average rate of change of f(x)=x2 on the interval [-2, 2]
What is zero?