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OpenStax Calculus
Volume 1
Instructor Answer
and Solution Guide
Questions and
Solutions 2026
2027
OpenStax Calculus Volume
OpenStax
1 Instructor
Calculus
Answer
Volume
OpenStax
and Solution
1 Instructor
Calculus
GuideAnswer
Volume
Questions
and
1 Instructor
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and Solutions
Guide
Answer2026
Questions
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,OpenStax Calculus Volume 1 Instructor Answer
OpenStax
and Calculus
Solution Guide
Volume.pdf
1 Instructor Answer
OpenStax
and Calculus
Solution Guide
Volume.pdf
1 Instructor Answer and Solution Guide .pdf
OpenStax Calculus Volume 1 Instructor Answer and Solution Guide
OpenStax Calculus Volume 1 Instructor Answer
OpenStax
and Solution
CalculusGuide
Volume
.pdf1 Instructor OpenStax
Answer and
Calculus
Solution
Volume
Guide 1 Instructor Answer and Solution Guide .pdf
,OpenStax Calculus Volume 1 Instructor Answer
OpenStax
and Calculus
Solution Guide
Volume.pdf
1 Instructor Answer
OpenStax
and Calculus
Solution Guide
Volume.pdf
1 Instructor Answer and Solution Guide .pdf
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.
x y x y
–3 9 1 1
–2 4 2 4
–1 1 3 9
0 0
Answer: a. Domain = −3, −2, −1, 0,1, 2, 3, range = 0,1, 4, 9 b. Yes, a function
2.
x y x y
–3 –2 1 1
–2 –8 2 8
–1 –1 3 –2
0 0
Answer: a. Domain = −3, −2, −1, 0,1, 2, 3, range = −2, −8, −1, 0,1,8 b. Yes, a function
3.
x y x y
1 –3 1 1
2 –2 2 2
3 –1 3 3
0 0
Answer: a. Domain = 0,1, 2, 3, range = −3, −2, −1, 0,1, 2,3 b. No, not a function
4.
x y x y
1 1 5 1
2 1 6 1
3 1 7 1
4 1
Answer: a. Domain = 1,2,3,4,5,6,7 , range = 1 b. Yes, a function
OpenStax Calculus Volume 1 Instructor Answer
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.pdf1 Instructor OpenStax
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, OpenStax Calculus Volume 1 Instructor Answer
OpenStax
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1 Instructor Answer
OpenStax
and Calculus
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Volume.pdf
1 Instructor Answer and Solution Guide .pdf
OpenStax Calculus Volume 1 Instructor Answer and Solution Guide
5.
x y x y
3 3 15 1
5 2 21 2
8 1 33 3
10 0
Answer: a. Domain = 3, 5,8,10,15, 21, 33, range = 0,1, 2, 3 b. Yes, a function
6.
x y x y
–7 11 1 –2
–2 5 3 4
–2 1 6 11
0 –1
Answer: a. Domain = −7, −2,0,1, 3, 6, range = −1, −2,1, 4,5,11 b. No, not a function
For the following exercises, find the values for each function, if they exist, then simplify.
a. f (0) b. f (1) c. f (3) d. f (− x) e. f (a ) f. f ( a + h)
7. f ( x ) = 5x − 2
Answer: a. −2 b. 3 c. 13 d. −5x − 2 e. 5a − 2 f. 5a + 5h − 2
8. f ( x ) = 4 x 2 − 3x + 1
Answer: a. 1 b. 2 c. 28 d. 4 x 2 + 3x + 1 e. 4a 2 − 3a + 1 f. 4a 2 + 8ah + 4h 2 − 3a − 3h + 1
2
9. f ( x) =
x
2 2 2 2
Answer: a. Undefined b. 2 c d. − e f.
3 x a a+h
10. f ( x) = x − 7 + 8
Answer: a. 15 b. 14 c. 12 d. − x − 7 + 8 e. a − 7 + 8 f. a + h − 7 + 8
11. f ( x ) = 6x + 5
Answer: a. 5 b. 11 c. 23 d. −6 x + 5 e. 6a + 5 f. 6a + 6h + 5
x−2
12. f ( x) =
3x + 7
2 1 1 x+2 a−2 a+h−2
Answer: a. − b. − c. d. − e. f.
7 10 16 7 − 3x 3a + 7 3a + 3h + 7
OpenStax Calculus Volume 1 Instructor Answer
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