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Copying or distributing without K12’s written consent is prohibited.
Integrated Mathematics II | Solution Manual | Function Equations
1 of 2
Function Equations
Pages 148–151
1. f (6) = 1; f (8) = −1
2. f (5) = 22; f (−5) = 22
3. g (0) = −2; g (1) = −3
4. g (2) = 0; g (−1) = 0
5. h(7) = 0; h(2) = 1
6. f (a2) = a4 − 2a2 + 1
7.
8.
9.
10.
11. domain: {x ∈ real numbers}
range: { f (x) ∈ real numbers}
12. domain: {m ∈ real numbers}
range: { f (m) | f (m) ≥ 0}
13. domain: {x ∈ real numbers}
range: { f(x) | f (x) ≥ −4}
14. domain: {x ∈ real numbers}
range: {a(x) | a(x) ≥ 4}
15. domain: {n ∈ real numbers}
range: {b(n) ∈ real numbers}
5
4
x
y
3
2
1
−5 −4 −3 −2 −1 1 2 3 4 5
−1
−2
−3
−4
−5
f (x)
5
4
x
y
3
2
1
−5 −4 −3 −2 −1 1 2 3 4 5
−1
−2
−3
−4
−5
f (x)
5
4
x
y
3
2
1
−5 −4 −3 −2 −1 1 2 3 4 5
−1
−2
−3
−4
−5
f (x)
5
4
x
y
3
2
−5 −4 −3 −2 −1 1 2 3 4 5
−1
−2
−3
−4
−5
f (x)

2. © 2014 K12 Inc. All rights reserved.
Copying or distributing without K12’s written consent is prohibited.
Integrated Mathematics II | Solution Manual | Function Equations
2 of 2
16. domain: {x ∈ real numbers}
range: { p(x) | p(x) ≥ 0}
17. domain: {a ∈ real numbers}
range: {q(a) | q(a) ≥ 0}
18. domain: {x ∈ real numbers}
range: { f (x) | f (x) ≥ −5}
19. domain: { y | y ≥ 0}
range: {t( y) | t( y) ≥ 0}
20. domain: {x | x ≠ 0}
range: { f (x) | f (x) ≠ 0}
21. independent variable: amount of fertilizer
dependent variable: number of tomatoes
22. independent variable: education level
dependent variable: income
23. independent variable: number of games won
dependent variable: place in the standings
24. independent variable: amount of time spent studying
dependent variable: grade on the test
25. independent variable: size of vehicle
dependent variable: number of miles per gallon
26. independent variable: quality of reviews
dependent variable: number of people who see a
movie
27. independent variable: temperature of the water
dependent variable: amount of sugar dissolved
28. independent variable: number of karats
dependent variable: cost of diamond
29. independent variable: distance from the person
being called
dependent variable: cost of a phone call
30. independent variable: size of the horse
dependent variable: length of the stride