Chapter 9 Radical Functions

SSM: Intermediate Algebra Homework 9.4
21. y = 4 x − 1 + 3
29. y = x + 2
x y
1 3
2 7
5 11
10 15
17 19
y
16
8
x y
0 2
1 3
4 4
9 5
16 6
y
8
4
23. x + y = 4
4 8
x
4 8
Domain: x ≥ 0
Range: y ≥ 2
x
y = − x + 4
x y
0 4
1 3
4 2
9 1
16 0
y
4
−4
4
8
x
31. y = − 2 x + 5 + 4
x y
−5 4
−4 2
−1 0
4 −2
11 −4
−4
y
4
−4
4
x
25. 2 y − 6 x = 8
2y
= 6 x + 8
y = 3 x + 4
33. a. a < 0, h = 0, and k > 0
Domain: x ≥ − 5
Range: y ≤ 4
x y
0 4
1 7
4 10
9 13
16 16
27. y = − 2
x
y
16
8
4 8
x
b. a > 0, h < 0, and k < 0
c. a > 0, h < 0, and k > 0
d. a < 0, h > 0, and k = 0
35. Answers may vary. One example: For the family
of curves y = a x − h + k , k = 3 , and h = 6 .
1 1
Let a = −4, −3, −2, −1, − , ,1,2,3, and 4 .
2 2
x y
0 0
1 −2
4 −4
9 −6
16 −8
y
4
−4
−8
Domain: x ≥ 0
Range: y ≤ 0
8
x
a < , f has a maximum point at ( , )
a > 0 , f has a minimum point at ( h,
k ) .
37. If 0
39. ( )
f 4 = 7 4 − 3
h k . If
= 7 ⋅ 2 − 3
= 11
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