Evaluating Functions
Transformations of functions
Identify Parent Function
Key Features of Functions
Piecewise Functions
100
For the function f(x)=2x-9 find f(-6)
f(-6) = -21
100
Which equation below shows the transformation from the black graph ( y=x^2 ) to the red graph
a.) (x+5)^2 b.) (x-5)^2 c.) x^2+5 d.) x^2-5
c.)
x^2+5
100
x^2
quadratic
100
What is the DOMAIN of the function graphed below
Make sure to use [] and () when appropriate
(-oo, 7)
100
Use the graph of the piecewise function below to evaluate f(1)
f(1)=3
200
Use the graph below. Find f(3) 
f(3) = 1
200
Which equation below shows the transformation from the black graph y=|x| to the red graph
a.) |x+4| b.) |x-4| c.) |x|+4 d.) |x|-4
a.)
|x+4|
200
y=5
constant
200
What is the RANGE of the function graphed below
Make sure to use [] and () when appropriate
[-4, oo)
200
Use the piecewise function below to find f(-2)
f(-2)=-5
300
Given f(x) = 3x + 1 solve for x when f(x) = 7
x = 2
300
Which equation below shows the transformation from the black graph y=x^2 to the red graph
a.) (x+8)^2-3 b.) (x-8)^2-3 c.) (x+3)^2-8 d.) (x-3)^2-8
d.)
(x-3)^2-8
300
looks like a V
absolute value
300
On what interval is the function graphed below INCREASING?
(-oo, -3)
300
Use the graph of the piecewise function below to evaluate f(-4)
f(-4)=-4
400
The graph of f(x) is shown below. Find all values of x where f(x) = 3 
x=-2
400
Describe ALL of the transformations that happen from the original function y=|x| to the new function y=-|x+1|+5
[HINT: there are three]
Reflected over the x-axis
Moved left one
Moved up 5
400
x>= 0
is always increasing
never negative
square root
400
On what interval is the function graphed below DECREASING?
(-oo,-3)U(3,oo)
400
Use the piecewise function below to find f(6)
f(6)=54
500
The graph of f(x) is shown below. Find ALL values of x where f(x) = 1
x=-4 and x=0
500
Describe ALL of the transformations that happen to the original function y=x^3 to the new function y=2(x-7)^3-4
Vertical Stretch of 2 (or horizontal shrink)
Move right 7
Move down 4
500
always positive
y>= 0
exponential
500
On what interval is the function graphed below POSITIVE?
(-oo,-4)U(1,7)
500
Use the piecewise function below to find 2f(0)-f(4)
2f(0)-f(4)=6