Calculus, Volume 1 by Gilbert Strang (OpenStax) – Complete Solutions Manual ISBN 978-1938168024 COMPLETE GUIDE WITH RATIONALES 100% VERIFIED A+ GRADE ASSURED!!!!!NEW LATEST UPDATE!!!!!

OpenStax Calculus Volume 1
vb vb vb Instructor Answer and Solution Guide
vb vb vb vb




Complete Chapter Solutions Manual are
vb vb vb vb vb




included (Ch 1 to 6)
vb vb vb vb

,OpenStax Calculus Volume 1 vb vb vb Instructor Answer and Solution Guide vb vb vb vb




Chapter 1 Function vb vb




s and Graphs
vb vb




1.1 Review of Functions vb vb




Section Exercises
vb




For the following exercises, (a) determine the domain and the range of each relation, and
vb vb vb vb vb vb vb vb vb vb vb vb vb vb




(b) state whether the relation is a function.
vb vb vb vb vb vb vb




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.
vb vb vb vb vb vb vb vb vb vb vb vb vb vb




x y x y
–3 –2 1 1
–2 –8 2 8
–1 –1 3 –2
Answer:
0 a. Domain
0 = −3,
vb − 2,−1,0,1,2,3
vb , range = −2,−8,−1,0,1,8b. Yes, a function 3.
vb vb vb vb vb vb vb vb vb vb vb vb vb vb




x y x y
1 –3 1 1
2 –2 2 2
3 –1 3 3
Answer:
0 a. Domain
0 = 0,1,2,3
vb , range
vb = −3,−2,−1,0,1,2,3 b. No, not a function 4.
vb vb v b vb vb vb vb vb vb vb vb vb vb




x y x y
1 1 5 1
2 1 6 1
Answer: a. Domain = 1,2,3,4,5,6,7,range = 1 b. Yes, a function
3 1 7 1
vb vb vb


4 1
vb vb vb vb vb vb vb vb vb vb

,OpenStax Calculus Volume 1 vb vb vb Instructor Answer and Solution Guide vb vb vb vb




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.
vb vb vb vb vb vb vb vb vb vb vb vb




x y x y
–7 11 1 –2
–2 5 3 4
–2
–1 = −7,−2,0,1,3,6, range = −1,−2,1,4,5,11 b. No, not a function
1 6 11
Answer:
0 a. Domain vb vb vb vb vb vb v b vb vb vb vb vb vb vb vb




For the following exercises, find the values for each function, if they exist, then simplify.
vb vb vb vb vb vb vb vb vb vb vb vb vb vb




a. f (0) b. f (1) c. f (3) d. f (−x) e. f (a) f. f (a + h)
v b vb v b v b vb v b v b vb v b v b vb v b v b vb v b v b vb vb vb




7. f ( x ) =5x−2
vb vb vb vb vb




Answer: a. −2 b. 3 c. 13 d. −5x−2 e. 5a−2 f. 5a+5h−2
vb v b v b vb vb vb vb v b vb vb v b v b vb vb v b v b vb vb vb vb




8. f ( x ) = 4x2 −3x+1
vb vb vb vb vb vb




Answer: a. 1 b. 2 c. 28 d. 4x2 +3x+1 e. 4a2 −3a+1 f. 4a2 +8ah+ 4h2 −3a−3h+1
vb vb vb vb vb vb vb v b vb vb vb v b v b vb vb vb v b v b vb vb vb vb vb vb vb vb vb




2
9. f (x)=
v b vb vb v b




x
2 d. 2 2
−
v b


Answer: a. Undefined b. 2 c vb vb vb vb vb v b vb e v b f.
3 2 a+h vb vb




x a

10. f(x)= x−7 +8
vb vb v b vb vb vb vb




Answer:a. 15 b. 14 c. 12 d. −x−7 +8 e. a−7 +8 f. a+h−7 +8
vb vb v b vb vb vb vb v b vb vb vb vb vb v b vb vb vb vb v b v b vb vb vb vb vb vb




11. f (x)=
vb vb vb 6x+5 vb vb




Answer: a. vb 5 b. 11 c. 23 d. −6x+5 e. vb vb 6a+5 f. vb vb 6a+6h+5 vb vb vb vb




x−2
f (x)=
vb vb


12.
3x + 7
vb vb vb


vb vb




2 b. − 1 c. 1 x+ 2 a−2 a + h −2
Answer: a. − 16 d. −
vb v b vb vb vb v b v b vb vb vb vb v b
vb vbvb


e.
vb vb vb vb vb v b


f. vb




7 −3x 3a+ 7 3a + 3h + 7
vb vb vb



7 10 vb vb vb vb
vb vb vb vb

, OpenStax Calculus Volume 1 vb vb vb Instructor Answer and Solution Guide
vb vb vb vb




13. f ( x ) =9 vb vb vb




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




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




.

x
14. f (x )=
x −16
vb vb vb
2
vb




Answer: x  4;all real numbers; = 0;y = 0 vb vb vb vb vb v b vb vb vb vb




15. g (x) = vb vb vb 8x−1 vb




1 1
Answer: x  ; y  0;x = ; no y-intercept
vb vb


vb vb vb vb vb vb vb vb v b vb




8 8

3
16. h(x) =
x +4
vb vb vb

2
vb vb




3 3
Answer: All real numbers;0  y  ; no x-intercept; y=
vb


vb vb vb vb vb v b vb v b vb vb vb v b




4 4

17. f (x)= −1+
vb vb vb vb x+2 vb vb




Answer: x  −2;y  −1;x = −1;y = −1+ vb vb vb vb vb vb vb vb vb vb vb 2

1
18. f (x)=
x−9
v b vb vb




vb vb




Answer: x  9; y  0; no intercepts vb vb vb vb vb vb




3
19. g (x) =
x− 4
vb vb vb



vb vb




3
Answer: x  4; y  0; no x-intercept; y=−
vb


vb vb
vb vb vb vb vb vb vb vb



4

20. f(x)=4 x+5vb vb vb vb vb vb




Answer: All real numbers; y  0;x = −5; y = 20
vb vb vb vb vb vb vb vb vb vb vb




7
21. g( x ) =
x−5
vb vb



vb vb




Answer: x  5; y  0; no intercepts vb vb vb vb vb v b vb