SOLUTION MANUAL FOR Calculus Volume 1 Gilbert Strang

OpenStax Calculus Volume 1 Instructor Answer and Solution Guide

,OpenStax Calculus Volume 1 Instructor Answer and Solution Guide


Chapter 1
Functions and Graphs
1.1 Review of Functions

Section Exercises
For the following exercises, (a) determine the domain and the range of each relation, and
(b) state whether the relation is a function.

1.

–3 9 1 1
–2 4 2 4
–1 1 3 9
0 0
Answer: a. Domain = range = b. Yes, a function

2.

–3 –2 1 1
–2 –8 2 8
–1 –1 3 –2
0 0
Answer: a. Domain = range = b. Yes, a function

3.

1 –3 1 1
2 –2 2 2
3 –1 3 3
0 0
Answer: a. Domain = range = b. No, not a function

4.

1 1 5 1
2 1 6 1
3 1 7 1
4 1
Answer: a. Domain = range = b. Yes, a function

,OpenStax Calculus Volume 1 Instructor Answer and Solution Guide


5.

3 3 15 1
5 2 21 2
8 1 33 3
10 0
Answer: a. Domain = range = b. Yes, a function

6.

–7 11 1 –2
–2 5 3 4
–2 1 6 11
0 –1
Answer: a. Domain = range = b. No, not a function

For the following exercises, find the values for each function, if they exist, then simplify.
a. b. c. d. e. f.

7.
Answer: a. b. 3 c. 13 d. e. f.

8.
Answer: a. 1 b. 2 c. 28 d. e. f.


9.

Answer: a. Undefined b. 2 c d. e f.


10.
Answer: a. b. 14 c. 12 d. e. f.

11.
Answer: a. b. c. d. e. f.


12.

Answer: a. b. c. d. e. f.

, OpenStax Calculus Volume 1 Instructor Answer and Solution Guide


13.
Answer: a. 9 b. 9 c. 9 d. 9 e. 9 f. 9

For the following exercises, find the domain, range, and all zeros/intercepts, if any, of the
functions.

14.
Answer: all real numbers;

15.

Answer: no y-intercept


16.

Answer: All real numbers; ; no x-intercept;


17.
Answer:


18.

Answer: no intercepts


19.

Answer: ; no x-intercept;


20.
Answer: All real numbers;


21.

Answer: no intercepts