Functions
Graphing Functions
Transforming Functions
Combining Functions
Inverse Functions
100
Is this graph a function?
Function
100
Identify the type of parent function represented by the equation
f(x) = 1/x
Reciprocal parent function
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
Find (f+g)(x)
f(x) =4x^3 - 5x^2 +7x-8
g(x) = 9x - 7
(f+g)(x) = 4x^3 -5x^2 +16x - 15
100
Complete the sentence: The ________ of a function f(x) becomes the range of its inverse function, while the ______ of the function becomes the domain of its inverse function.
Domain ; Range
200
Is this table a function?
Yes
200
Identify the type of parent function represented by the equation
f(x) = x^2
Quadratic
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
Find (f - g)(x)
f(x) = 5x^3 +8x^2-7x-3
g(x) = 2x^2 -5x - 10
(f-g)(x) = 5x^3 +6x^2 -2x + 7
200
Find the inverse of the function represented by the set of ordered pairs
{(-4,5),(6,-1),(8,2),(-5,0)}
{(5,-4),(-1,6),(2,8),(0,-5)}
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
(f*g)(x)=2x+3
g(x)=x^2-5x+3
Find
(f*g) (x)
(f*g)(x) = 2x^3-7x^2-9x+9
300
Find the inverse function for the given function
f(x) = 3x - 4
f^-1(x) = (x+4)/3
400
Identify the domain and range
Domain: All real numbers
Range:
y<=3
400
What is the parent function of this graph? 
Linear Parent Function
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
Find
(f/g) (x)
f(x)=root3 (5x)
g(x) = 7x+14
(f/g)(x) = (root3(5x))/(7x+14) , x ne -2
400
What is the domain of the inverse function of the
h(x) = sqrtx +2
x>=2
500
Identify the domain and range
Domain
2<=x<=6
Range
6<=y<=18
500
Where is the function below decreasing?
f(x) = root 3 x
Never
500
The changes listed are applied to the graph of the reciprocal parent function,
f(x) = 1/x
, to create the graph of h(x).
Shift 7 units right
Shift 3 units up
What is h(x)?
h(x) = 1/(x-7) + 3
500
A building materials company sells gravel. Suppose that
C(x) = 0.5x^2 +3x
represents its estimated monthly cost, and
R(x) = -0.002x^3 +5x^2-10x
represents its estimated monthly revenue, where x is in thousands of pounds of gravel sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
P(x) = -0.002x^3+4.5x^2 -13x
500
Determine whether f(x) and g(x) are inverses.
f(x) = 1/(x+2) -4
g(x) = 1/(x+4) -2
The functions are inverses