HW 2-4 FUNCTION REVIEW
Name: ____________________
1) Let f(x)  4x 3 , complete the table
x
f(x)
-1
0
Period: _____
1
2
3
2) Identify the functions below. State their domain and range.
a. f(x)  2 x  3
____________________
D:__________________
R:________________
b. f(x)  2 x
____________________
D:__________________
R:________________
c. g(x)  x 2  2x  8 ____________________
D:__________________
R:________________
3) What is the range of f(x)  (x  4)2  7 ?
(1) y  4
(HINT: put in calculator)
(2) y  7
4) a. Let g(x) = x2 – 5x. Find g(-2).
(3) y  4
(4) y  7
b. Let h(x) = 3x + 1 Find x when h(x) = 10
5) The statement f(-2) = 7 implies which of the following to be true?
(1) Both –2 and 7 are elements in the range of this function.
(2) The coordinate point (7, -2) would appear on the graph of this function.
(3) 7 is in the domain and –2 is in the range.
(4) The coordinate point (-2, 7) would appear on the graph of this function.
6)
Given:
{(2, 4), (1, -3), (-5, 9), (1, 4)} Complete the table below.
Input
Output
Is this relation a function?
Find f(-5)
If f(x) = -3 find x
7)
8)
Which of the following is not a function?
2x  y  5
(1)
(2)
x 2  y 2  25
(3)
y  x2  6
(4)
y  3x
Use the graph of f(x) below to answer the questions below
y
a. Domain:
b. Range:
c. Find f(-4) =
x
d. For what value(s) of x does f(x) = 3?
e. Is the graph a function? Explain.
f. Is the graph a 1-1 function? Explain
9) Draw an example of a graph for each function stated below.
Quadratic Function
Linear Function
Exponential Function
10) Which of the following is a function but is not a one-to-one function?
x
y
x
y
x
y
x
y
-1
2
8
1
2
3
1
4
6
3
2
3
2
7
5
7
8
2
6
5
4
-2
3
-7
9
8
1
8
1
-9
1
2
11) If h(x)  3x 3  5x  4 , find h(-4)