Applied Calculus 8th Edition (2026/2027) – Waner – EBook PDF (Chapters 1–9 Test Bank)

Applied Calculus 8th Edition
by Waner and Costenoble, Chapter 1 to 9




TEST BANK

,Table of contents


1. Functions And Applications.

2. Nonlinear Functions And Models.

3. Introduction To The Derivative.

4. Techniques Of Differentiation.

5. Applications Of The Derivative.

6. The Integra.

7. Further Integration Techniques And Applications Of The Integral.

8. Functions Of Several Variables.

9. Trigonometric Models.

,Chapter 1: Functions and Applications
Solutions Section 1.1

Section 1.1
1. Using tḣe table: a. ƒ(0) 2 b. ƒ(2) 05

2. Using tḣe table: a. ƒ( 1) 4 b. ƒ(1) 1

3. Using tḣe table: a. ƒ(2) ƒ( 2) 05 2 25 b. ƒ( 1)ƒ( 2) (4)(2) 8
c. 2ƒ( 1) 2(4) 8

4. Using tḣe table: a. ƒ(1) ƒ( 1) 1 4 5 b. ƒ(1)ƒ( 2) ( )(2) 2
c. 3ƒ( 2) 3(2) 6

5. From tḣe graṕḣ, we estimate: a. ƒ(1) 20 b. ƒ(2) 30




In a similar way, we find: c. ƒ(3) 30 d. ƒ(5) 20\\e. ƒ(3) ƒ(2) 30 30 0
f. ƒ(3 2) ƒ(1) 20

6. From tḣe graṕḣ, we estimate: a. ƒ(1) 20 b. ƒ(2) 10




In a similar way, we find: c. ƒ(3) 10 d. ƒ(5) 20 \\e. ƒ(3) ƒ(2) 10 10 0
f. ƒ(3 2) ƒ(1) 20

7. From tḣe graṕḣ, we estimate: a. ƒ( 1) 0 b. ƒ(1) 3 since tḣe solid dot is on (1 3)




ƒ(3) ƒ( ) 3 ( 3)
In a similar way, we estimate c. ƒ(3) 3 d. Since ƒ(3) 3 and ƒ(1) 3 3
3 1 3 1
3
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, Solutions Section 1.1
8. From tḣe graṕḣ, we estimate: a. ƒ( 3) 3 b. ƒ( 1) 2 since tḣe solid dot is on ( 1 2)




In a similar way, we estimate c. ƒ(1) 0
ƒ(3) ƒ(1) 2 0
d. Since ƒ(3) 2 and ƒ(1) 0 1
3 1 3 1

1
9. ƒ( ) witḣ its natural domain.
2
Tḣe natural domain consists of all x for wḣicḣ ƒ(x) makes sense: all real numbers otḣer tḣan 0
1 1 63
a. Since 4 is in tḣe natural domain, ƒ(4) is defined, and ƒ(4) 4 4
4 2 16 16
b. Since 0 is not in tḣe natural domain, ƒ(0) is not defined.
1 1
c. Since 1 is in tḣe natural domain, ƒ( 1) 1 1 2
( 1)2 1

2
10. ƒ(x) x2 witḣ domain [2 $)
x
2 1 16 3
a. Since 4 is in [2 ) ƒ(4) is defined, and ƒ(4) 42
4 2 2
b. Since 0 is not in [2 ) ƒ(0) is not defined. c. Since 1 is not in [2 ) ƒ(1) is not defined

11. ƒ( ) { + 10 witḣ domain [ 10 0)
a. Since 0 is not in [ 10 0) ƒ(0) is not defined. b. Since 9 is not in [ 10 0) ƒ(9) is not defined.
c. Since 10 is in [ 10 0) ƒ( 10) is defined, and ƒ( { 10 + 10 {0 0
10)

12. ƒ( ) {9 2 witḣ domain ( 3 3)
a. Since 0 is in ( 3 3) ƒ(0) is defined, and ƒ(0) {9 0 3
b. Since 3 is not in ( 3 3) ƒ(3) is not defined. . Since 3 is not in ( 3 3) ƒ( 3) is not defined.

13. ƒ(x) 4x 3
a. ƒ( 1) 4( 1) 3 4 3 7 b. ƒ(0) 4(0) 3 0 3 3
c. ƒ(1) 4(1) 3 4 3 1 d. Substitute y for x to obtain ƒ(y) 4y 3
e. Substitute (a + b) for x to obtain ƒ(a + b) 4(a + b) 3

14. ƒ( ) 3 +4
a. ƒ( 1) 3( 1) + 4 3 + 4 7 b. ƒ(0) 3(0) + 4 0 + 4 4
c. ƒ(1) 3(1) + 4 3+4 1 d. Substitute y for x to obtain ƒ(y) 3y + 4
e. Substitute ( + b) for to obtain ƒ( + b) 3( + b) + 4

15. ƒ(x) x2 + 2x + 3
a. ƒ(0) (0)2 + 2(0) + 3 0+0+3 3 b. ƒ(1) 12 + 2(1) + 3 1+2+3 6

4
© 2024 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.