Solutions for Calculus of a Single Variable, Early Transcendental Functions, 8th Edition Larson (All Chapters included)

Calculus of a Single Variable, Early
Transcendental Functions
8th Edition by Ron Larson




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Complete Chapter Solutions Manual




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are included (Ch 1 to 10)




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** Immediate Download
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** Swift Response
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** All Chapters included
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, C H A P T E R 1
Preparation for Calculus

Section 1.1 Graphs and Models................................................................................. 2

Section 1.2 Linear Models and Rates of Change ................................................... 11

Section 1.3 Functions and Their Graphs ................................................................. 22




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Section 1.4 Review of Trigonometric Functions .................................................... 36




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Section 1.5 Inverse Functions.................................................................................. 45




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Section 1.6 Exponential and Logarithmic Functions ............................................. 62

Review Exercises .......................................................................................................... 72
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Problem Solving ........................................................................................................... 87
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,C H A P T E R 1
Preparation for Calculus
Section 1.1 Graphs and Models
1. To find the x-intercepts of the graph of an equation, 8. y = 5 − 2 x
let y be zero and solve the equation for x. To find the 5
y-intercepts of the graph of an equation, let x be zero x −1 0 1 2 2
3 4
and solve the equation for y. y 7 5 3 1 0 −1 −3
2. Symmetry helps in sketching a graph because you need
only half as many points to plot. Answers will vary.




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3. y = − 32 x + 3
x-intercept: ( 2, 0)




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y-intercept: (0, 3)




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Matches graph (b).

4. y = 9 − x2 9. y = 4 − x 2

x-intercepts: ( −3, 0), (3, 0) x −3 −2 0 2 3
y-intercept: (0, 3)

Matches graph (d).
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5. y = 3 − x 2

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x-intercepts: 3, 0 , − 3, 0

y-intercept: (0, 3)

Matches graph (a).
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6. y = x3 − x
10. y = ( x − 3)
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x-intercepts: (0, 0), ( −1, 0), (1, 0)
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y-intercept: (0, 0) x 0 1 2 3 4 5 6

Matches graph (c). y 9 4 1 0 1 4 9
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7. y = 1x +2
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x −4 −2 0 2 4
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y 0 1 2 3 4




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, Section 1.1 Graphs and Models 3


11. y = x + 1 3
15. y =
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x −4 −3 −2 −1 0 1 2
x −3 −2 −1 0 1 2 3
y 3 2 1 0 1 2 3
y −1 − 32 −3 Undef. 3 3
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12. y = x − 1




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x −3 −2 −1 0 1 2 3 1
16. y =
y 2 1 0 −1 0 1 2 x + 2




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x −6 −4 −3 −2 −1 0 2

y − 14 − 12 −1 Undef. 1 1
2
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13. y = x −6
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x 0 1 4 9 16

y −6 −5 −4 −3 −2 17. y = 5− x
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(a) (2, y) = ( 2, 1.73) (y = 5−2 = 3 ≈ 1.73 )
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14. y = x + 2
(b) ( x, 3) = ( −4, 3) (3 = 5 − ( −4) )
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x −2 −1 0 2 7 14 18. y = x5 − 5 x

y 0 1 2 2 3 4




(a) (−0.5, y) = ( −0.5, 2.47)

(b) ( x, − 4) = ( −1.65, − 4) and ( x, − 4) = (1, − 4)