Name______________________________
Algebra: Functions Review for Quiz
Date______________
I. Domain and Range
1.
Th
1. What is the domain of the function shown
below?
What is the range of this function?
1)
2)
3)
4)
1)
2)
3)
4)
Wh
3. What is the range of the relation
the domain is the set
?
1)
2)
3)
4)
2. The accompanying graph shows the
elevation of a certain region in New York State
as a hiker travels along a trail.
Wh
if
5. What is the range for the function
f ( x)  x 2  3 .
4. What is the domain of the function
?
1)
2)
3)
4)
6. The function f has a domain of {-3, 0, 2, 5} and a
range of {-1, 4}. Which of the following sets of
ordered pairs could represent f?
1) {(-3,0), (0,-1), (2,4), (5,4)}
2) {(-1,-3), (-1,0), (2,4), (4,5)}
3) {(-3,-1), (0,-1), (2,4), (5,4)}
4) {(-3,-1), (0,-1), (0,4), (2,4)}
II. Determining if a relation is a function
7. Which relation is a function?
1)
2)
3)
4)
G
8. Given the relation
. Which
replacement for a makes this relation a
function?
1) 1
2)
3) 0
4) 4
Whi
9. Which graph represents a function?
3)
1)
2)
10. On the accompanying diagram, draw a mapping
of a relation from set A to set B that is not a
function. Explain why the relationship you drew is
not a function.
4)
III. Function Notation
11. If P(h) = h2 + h + 2 and Q(h) = h + 5, find
P(h) + Q(h).
1) h2 − 3
3) h2 + 2h − 3
2
2) h + 2h + 7
4) h2 + h + 7
12. Write a function rule for which f (−5) = 2 .
13. Find f (3) given f ( x)  2 x 2  3x  6 .
1) -51
3) -33
2) -27
4) -21
14. If
of
15. Refer to the graph of f(x) below.
a) What is the value of f(6)?
b) For what value of x is f(x) = 3?
f(x)
and
, find the value
.
x
m(x)
-3
-5
-2
-3
-1
-1
x
n(x)
5
-9
6
-11
7
-13
16. Use the tables above to find the value of
m(2)  n(6) .
IV. Types of Functions – Use a separate sheet of graph paper to graph the following 2 functions.
17. Graph the function f ( x)  x  2 .
a) What is the domain of f (x) ?
b) What is the range of f (x) ?
18. Graph the function f ( x)  x  3
a) What is the domain of f (x) ?
b) What is the range of f (x) ?
c) State the domain over which the function
is increasing.
d) State the domain over which the function
is decreasing.