College Algebra
Chapter 2 section 2 and 3
Class work
Name___________________________________
Decide whether the relation defines a function.
1) {(-3, 6), (1, -1), (5, 2), (9, 2), (12, 2)}
A) Function
B) Not a function
2)
A) Function
B) Not a function
A) Function
B) Not a function
3)
section 2.2, 2.3
4)
A) Function
B) Not a function
5) 3x + 8y < -4
A) Function
B) Not a function
6) y = 3x - 6
A) Function
B) Not a function
7) y = x3
A) Function
B) Not a function
Give the domain and range of the relation.
8) {(2, 7), (-1, -8), (-6, -5), (6, 0)}
A) domain: {2, 6, 7}; range: {-8, -6, -5, -1}
C) domain: {-8, -6, -5, -1}; range: {2, 6, 7}
section 2.2, 2.3
B) domain: {-6, -1, 2, 6}; range: {-8, -5, 0, 7}
D) domain: {-8, -5, 0, 7}; range: {-6, -1, 2, 6}
9)
A) domain: {5, 8, 13}; range: {4, 7, 12}
C) domain: {4, 7, 12}; range: {5, 8, 13}
B) domain: {4, 12}; range: {5, 13}
D) None of these
10)
A) domain: (B) domain: (C) domain: (D) domain: (-
, 0) (0, ); range: (- , -1) (-1, )
, -1) (-1, ); range: (- , 0) (0, )
, ); range: (- , )
, 0] [0, ); range: (- , -1] [-1, )
section 2.2, 2.3
11)
A) domain: (3, ); range: (-3, )
C) domain: (- , ); range: (- , )
B) domain: [3, ); range: (- , )
D) domain: (- , ); range: [3, )
12) y = 3x + 15
A) domain: (- , ); range: [0, )
C) domain: [0, ); range: (- , )
13) y =
6x - 4
A) domain:
2
,
3
; range: (
C) domain:
2
,
3
; range: [0, )
14) y =
B) domain: (- , ); range: [15, )
D) domain: (- , ); range: (- , )
B) domain:
, )
D) domain: (
2
,
3
; range: [0, )
, ); range:
2
,
3
6
9-x
A) domain: (- , 9) (9, ); range: (- , )
C) domain: (- , ); range: (- , )
B) domain: (- , 9) (9, ); range: (- , 0) (0, )
D) domain: (- , ); range: (- , 0) (0, )
section 2.2, 2.3
Evaluate the function.
15) Find f(7)
f
A) 12
B) (4, 12)
16) Find f(3) if f = {(-2, 3), (3, 0), (0, 5), (5, -2)}
A) (0, -2)
B) -2
C) 4
D) None of these
C) 0
D) None of these
Determine the intervals over which the function is decreasing, increasing, and constant.
17)
A) Increasing [-1, ); Decreasing (- , -1]
C) Increasing [1, ); Decreasing (- , 1]
B) Increasing (- , -1]; Decreasing [-1, )
D) Increasing (- , 1]; Decreasing [1, )
section 2.2, 2.3
18)
A) Increasing (- , 0]; Decreasing [0, )
C) Increasing for all reals; Decreasing
B) Increasing ; Decreasing for all reals
D) Increasing [0, ); Decreasing (- , 0]
A) Increasing [3, ); Decreasing [3 )
C) Increasing (- , 3]; Decreasing (- , 3]
B) Increasing (- , 3]; Decreasing [3, )
D) Increasing [3, ); Decreasing (- , 3]
19)
Find the requested value.
7x + 7, if x 0
20) f(4) for f(x) = 2 - 3x, if 0 < x < 3
x,
if x 3
A) -10
B) 4
C) 35
section 2.2, 2.3
D) 3
21) f(-4) for f(x) = 2x,
x - 2,
A) -8
if x -1
if x > -1
B) 8
C) 2
Determine if the function is even, odd, or neither.
22) f(x) = 4x2 + 3
A) Even
B) Odd
D) -6
C) Neither
23) f(x) = -4x5 + 7x3
A) Even
B) Odd
C) Neither
24) f(x) = 3x3 - 2x2 - 4
A) Even
B) Odd
C) Neither
25) f(x) = -6x3 + 5x
A) Even
B) Odd
C) Neither
section 2.2, 2.3