Download Domain & Range Review

Name: ________________________ Class: ___________________ Date: __________
Domain & Range Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the domain and range of the relation and determine whether it is a function.
a.
b.
c.
d.
____
____
Domain: all real numbers; range: all real numbers; yes, it is a function
Domain: x > 0; range: y > 0; yes, it is a function.
Domain: positive integers; range: positive integers; no, it is not a function.
Domain: x ≥ 0; range: y ≤ 0; no, it is not a function.
2. For f (x) = 5x + 1, find f (−4) .
b. 1
a. –19
c.
3. Suppose f (x) = 4x − 2 and g (x) = −2x + 1.
f (5)
Find the value of
.
g (−3)
5
4
a. 1
b. 2
c.
9
7
–21
d.
21
−2
d.
2
Short Answer
4. Graph the relation.
ÏÔ
¸Ô
ˆ˜ ÊÁ 1 ˆ˜
ÊÁ
Ô
1
ÔÔ Ê
˜
˜
Á
Á
ˆÔ
ˆ Ê
˜ Ê
˜ Á
ˆ Á
ÔÌÔ ÁË 0, 3 ˜¯ , ÁÁÁÁ 2, 4 2 ˜˜˜˜ , ÁÁÁÁ 1 2 , 5˜˜˜˜ , ÁË 4, − 1 ˜¯ , ÁË −4, 4 ˜¯ ˝ÔÔ
ÔÓ
Ô˛
¯
¯ Ë
Ë
5. Is the relation {(–2, 5), (–1, 5), (–1, 4), (–1, –3), (–2, 0)} a function? Explain.
1
ID: A
Name: ________________________
ID: A
6. Write the ordered pairs for the relation. Find the domain and range.
Other
7. Describe the vertical-line test for a graph and tell how it can determine whether a graph represents a function.
2