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Intermediate Algebra (Subscription), 4th...
172 CHAPTER 2 Relations, Functions, and More Inequalities
Exercise numbers in green have
2.3 Exercises MyMathLab
may be occessed using the QR code to the right.
33. Use the graph of the function f shown to answer
parts (a) - (1).
Problems 1-14 are the Quick v s that follow the EXAMPLES.
Building Skills
In Problems 15-22, graph each function. See Objective 1.
4.
(-3,3)
15. f(x) = 4xr - 6
16. g(x) = -3x + 5
(6, 2)
2
(-2, 2)
17. h(x) = x - 2
19. G(x) = |x - 1|
18. F(x) = x + 1
(-6,0)/
(4, 0)
-4 (-1,0)
(0, -1)
L(2. -2)
2
6 x
20. H(x) = |x + 1|
22. h(x) = x - 3
(-7,-2)
21. g(x) = x
In Problems 23-32, for each graph of a function, find (a) the domain
and the range, (b) the intercepts if any, and (c) the zeros, if any. See
Objective 2.
-4
(a) Find f(-7).
(b) Find f(-3).
(c) Find f (6).
(d) Is f (2) positive or negative?
(e) For what numbers x is f(x) = 0?
(f) What is the domain of f?
(g) What is the range of f?
(h) What are the x-intercepts?
(i) What is the y-intercept?
(j) For what numbers x is f(x) = -2?
(k) For what number x is f (x) = 3?
(1) What are the zeros of f?
23.
24.
(0,2)
H A.0)
-4
H E(3,0)
-4
(3.0)
4 x
L(0, -1)
25.
26.
(0,3) (1, 4)
(-1,0)/E
(3.0)
34. Use the graph of the function g shown to answer
parts (a) – (1).
-4
4 x
(-2,0)
(4,0)
(0,-2)(1.-225)
y4
-6, 4)
-5,3)
4
(6,3)
(5,2)
27.
28.
(-1.0) 4E
(0,2) (1.0)
(0-
(3,0)
2.
(-3,0)A
(4,0)
(-4,0)
(2,0)
-6
-2
4
6 x
-4
4 x
-4
(-3, -2)
(2, -2)
-4 (0, -3)
(0, -3)
29.
30.
(a) Find g(-3).
(b) Find g(5).
(c) Find g(6).
(d) Is g(-5) positive or negative?
(e) For what numbers x is g (x) = 0?
(f) What is the domain of g?
(g) What is the range of g?
(h) What are the x-intercepts?
(i) What is the y-intercept?
(j) For what numbers x is g(x) = -2?
(k) For what number x is g (x) = 3?
(1) What are the zeros of g?
(0,9)F
(0, 4)
(-1,0) E
(2,0)
-4
4 x
(-3,0)
(3,0)
-3-
-4
4 x
31.
y4
32.
y4
(4,3)
(0,2)
(-2,0)
(0,3)
-5
5 x
E(2,0) 5
-3
-5