Functions
Graphing Functions
Transforming Functions
Evaluating Functions
Characteristics of Functions
100
Is this graph a function?
Function
100
Is the function linear or nonlinear?
f(x) = 1/x
Nonlinear
100
g(x) is the transformation of
f(x) = x^2
What is the function g(x) represented by the graph?
g(x) = (x-3)^2
100
What planet is known as the “Red Planet”?
Mars
100
The domain of a function are the _______________ values of the function.
input or x
200
Is this table a function?
Yes
200
Is the function linear or nonlinear?
f(x) = 3x + 7
Linear
200
What is the effect on the graph of
f(x) = 1/x
when it is transformed to
h(x) = 1/x +6
The graph of f(x) is shifted up 6 units
200
In the Disney movie Finding Nemo, what kind of fish is Nemo?
Clownfish
200
A function is positive when it is _______________.
above the x axis.
300
Raquel is a member of an online book library that charges $1.50 per book. The cost, C(b), is represented by C(b) = 1.50b, where b is the number of books Raquel borrows.
Identify the independent variable.
b, the number of books Raquel borrows
300
Where is the function below negative?
f(x) = |x|
Never
300
g(x) is a transformation of f(x) = |x|. What is the function g(x) represented by the graph? 
g(x) = -|x| + 5
300
What is the only metal that is liquid at room temperature?
Mercury
300
The range of a function are the _______________ values of the function.
output or y
400
Identify the domain and range
Domain: All real numbers
Range:
y<=3
400
What is the parent function of this graph? 
f(x) = x
400
What are the effects on the graph of
f(x) = root3 x
when it is transformed to
f(x) = root3 (1/3x) -8
?
The graph of f(x) is stretched horizontally by a factor of 3 and shifted down 8 units
400
The mathematical constant π (pi) is approximately equal to 3.14. What are the next two digits?
15
400
A function is decreasing when it is moving __________ as it moves ______________.
down; right
500
Identify the domain and range
Domain
2<=x<=6
Range
6<=y<=18
500
Where is the function below decreasing?
f(x) = 6x + 8
Never
500
In the following function, how do a, h, and k transform the graph?
a f(x) = x - h + k
a: determines the vertical shrink or stretch
h: determines the shift to the left or right
k: determines the shift up or down
500
Who was the first artist to win the Grammy Award for Album of the Year three times?
Stevie Wonder
500
What is the end behavior of a linear function with a positive slope?
As x reaches positive infinity, y reaches positive infinity. As x reaches negative infinity, y reaches negative infinity.