Function Review Worksheet
Math Tutorial Lab Special Topic∗
Example Problems
Evaluate the following functions:
1. If f(x) = x2−2x+ 1, find
(a) f(2)
(b) f(√5)
(c) f(−1 + √2)
(d) f(2w+ 1)
2. If f(x) = √x+ 4, find
(a) f(−1)
(b) f(a)
(c) f(x+h)
(d) f(,)
Determine which of the curves are graphs of functions. For the graphs that are functions, find
the domain and range.
3.
−8−6−4−2
−2
2
x
y4.
−2 2
−2
2
4
x
y5.
−4−2 2 4
−10
−5
5
10
x
y
Find the domain and range of each function.
6. f(x)=2x+ 1
7. f(x)=3x2−2
8. f(x) = x2
x2+1
9. f(x) = x
x−1
10. f(x) = √1−x
11. f(x) = √x2−9
12. f(x) = qx−2
x−1
13. f(x) = √x2−x−2
14. f(x) = (x3,if x≥0
−2x, if x < 0.
Find f+g, f −g, f ·g, and f /g.
15. f(x) = 1
x;g(x) = x
x−2
16. f(x) = √x+ 1; g(x) = √3−x
Find f◦gand g◦f.
17. f(x) = √x−1; g(x) = x2−3
18. f(x) = 1
x;g(x) = 1
x+1
∗Created by Maria Gommel, June 2014.
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