Homework Set 3
This homework set covers sections 1.3-1.6. Problems 1-5 cover section 1.3.
Problems 6-19 cover section 1.4. Problems 20-33 cover sections 1.5, and problems 34-35 cover section 1.6. The page numbers refer to your textbook. The
problems which are not from your textbook (i.e. the ones written out in text
here) could have different numbers in your individual WebWork problems.
1. Consider the line passing through the points (2,6) and (-2,5). It can be
written in slope-intercept form as:
2. Consider the line with x-intercept 2 and y-intercept -2. It can be written
in slope intercept form as:
3. Consider two lines. One has slope 2 and y-intercept -3. The other passes
through the points (1,2) and (-2,3). The two lines intercept in the point:
4. Pg. 35, problem 78
5. Pg. 36, problem 97
6. Pg. 48, problem 2
7. Pg. 49, problem 16
8. Pg. 49, problem 20
9. Consider the function defined by f (x) = x2 + 3x + 1. Then
(a) f (1) =
(b) f (−3) =
(c) f (2/3) =
10. Pg. 49, problem 38
11. Pg. 50, problem 54
12. Consider the function f defined by f (x) =
set of all real numbers except x =
x+3
. The domain of f is the
x−5
13. This problem is an instructional problem to explain how to enter intervals
involving infinity into WebWork.
√
14. The domain of the function f (x) = 16 − x2 is the interval :
√
4 − x2
is the interval :
15. The domain of the function f (x) = √
1 − x2
1
16. This is another instructional problem on evaluating function. For example
you will be given the equation f (x) = 2x − 1. Then f (1) = 2 − 1 = 1.
Also f (t) = 2t − 1, and f (x2 ) = 2x2 − 1, and f (f (x)) = 2(f (x)) − 1 =
2(2x − 1) − 1 = 4x − 2 − 1 = 4x − 3. You will need to enter those four
answers into WebWork.
x
17. Suppose f (x) =
. Then
x+1
(a) f (1) =
(b) f (t) =
(c) f (x2 ) =
(d) f (f (x)) =
18. Pg. 50, problem 80
19. Pg. 51, problem 92
20. Pg. 61, problem 3
21. Pg. 61, problem 4
22. Pg. 61, problem 10
23. Pg. 61, problem 12
24. Pg. 62, problem 24
25. This problem will be similar to problem 32 on page 62.
26. This problem will be similar to problem 32 on page 62
27. This problem will be similar to problem 32 on page 62
28. Pg. 63, problem 70
29. For the following functions, enter E if they are even, O if they are odd,
and N if they are neither even nor odd.
(a) f (x) = x2
(b) f (x) = x3
(c) f (x) = x2 + x3
30. For the following functions, enter E if they are even, O if they are odd,
and N if they are neither even nor odd.
(a) f (x) = |x|
(b) f (x) = 2
(c) f (x) =
x3 + x
3 + x2
2
(d) f (x) = |x|x
31. Enter below the definition of a function that is both even and odd.
32. Pg. 63, problem 80
33. Pg. 65, problem 92 (only parts a, c, and e)
34. Pg. 71, problem 34
35. Pg. 73, problem 66
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