College Algebra, 2013a

184 Linear and Quadratic Functions
2.2.2 Answers
1. x = −6 orx =6 2. x = −3 orx = 11
3
3. x = −3 orx =11
4. x = −1 orx =1 5. x = − 1 2 or x = 1
10
6. no solution
7. x = −3 orx =3 8. x = − 13
8
or x =
53
8
9. x = − 3 2
10. x =0orx = 2 11. x = 1 12. no solution
13. x = −1, x =0orx = 1 14. x = −3 orx = 3 15. x = −2 orx =2
16. x = −1 orx = 9 17. x = − 1 7
or x = 1 18. x =0orx =2
19. x = 1 20. x = − 3
10
21. x = 1 5
or x =5
22. f(x) =|x +4|
f(−4) = 0
x-intercept (−4, 0)
y-intercept (0, 4)
Domain (−∞, ∞)
Range [0, ∞)
Decreasing on (−∞, −4]
Increasing on [−4, ∞)
Relative and absolute min. at (−4, 0)
No relative or absolute maximum
y
4
3
2
1
−8 −7 −6 −5 −4 −3 −2 −1 1
x
23. f(x) =|x| +4
No zeros
No x-intercepts
y-intercept (0, 4)
Domain (−∞, ∞)
Range [4, ∞)
Decreasing on (−∞, 0]
Increasing on [0, ∞)
Relative and absolute minimum at (0, 4)
No relative or absolute maximum
y
8
7
6
5
4
3
2
1
−4 −3 −2 −1 1 2 3 4
x