College Algebra, 2013a

64 Relations and Functions
11. f(x) =2x + 1 12. f(x) =3− 4x
13. f(x) =2− x 2 14. f(x) =x 2 − 3x +2
15. f(x) = x
x − 1
16. f(x) = 2 x 3
17. f(x) = 6 18. f(x) =0
In Exercises 19 - 26, use the given function f to find and simplify the following:
ˆ f(2) ˆ f(−2) ˆ f(2a)
ˆ 2f(a) ˆ f(a +2) ˆ f(a)+f(2)
ˆ f ( )
2
a
ˆ f(a)
2
19. f(x) =2x − 5 20. f(x) =5− 2x
ˆ f(a + h)
21. f(x) =2x 2 − 1 22. f(x) =3x 2 +3x − 2
23. f(x) = √ 2x + 1 24. f(x) = 117
25. f(x) = x 2
26. f(x) = 2 x
In Exercises 27 - 34, use the given function f to find f(0) and solve f(x) =0
27. f(x) =2x − 1 28. f(x) =3− 2 5 x
29. f(x) =2x 2 − 6 30. f(x) =x 2 − x − 12
31. f(x) = √ x + 4 32. f(x) = √ 1 − 2x
33. f(x) = 3
4 − x
⎧
⎪⎨ x +5 if x ≤−3
√
35. Let f(x) = 9 − x 2 if −3 3
34. f(x) = 3x2 − 12x
4 − x 2
Compute the following function values.
(a) f(−4) (b) f(−3) (c) f(3)
(d) f(3.001) (e) f(−3.001) (f) f(2)