Calculus Of A Single Variable,
Early Transcendental Functions
8th Edition By Ron Larson
Complete Chapter Solutions
Manual Are Included (Ch 1 To 10)
, CH AP T ER 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
Section 1.4 Review Of Trigonometric Functions ................................................ 36
Section 1.5 Inverse Functions ............................................................................ 45
Section 1.6 Exponential And Logarithmic Functions .......................................... 62
Review Exercises ................................................................................................... 72
Problem Solving .................................................................................................... 87
,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 8. Y = 5 − 2x
Equation, Let Y Be Zero And Solve The Equation
X −1 0 1 2 5
3 4
For X. To Find The Y-Intercepts Of The Graph Of 2
An Equation, Let X Be Zero And Solve The Y 7 5 3 1 0 −1 −3
Equation For Y.
2. Symmetry Helps In Sketching A Graph Because You
Need Only Half As Many Points To Plot. Answers
Will Vary.
3. Y = − 23 X + 3
X-Intercept: (2, 0)
Y-Intercept: (0, 3)
Matches Graph
(B).
9. Y = 4 − X2
4. Y = 9 − x2 X −3 −2 0 2 3
X-Intercepts: (−3, 0), (3, 0)
Y −5 0 4 0 −5
Y-Intercept: (0, 3)
Matches Graph (D).
5. Y = 3 − X2
X-Intercepts:
)(
3, 0 , − 3, 0 )
(
Y-Intercept: (0, 3)
Matches Graph (A). 2
6. Y = X3 − X
10.
X-Intercepts: (0, 0), (−1, 0), (1, 0)
Y-Intercept: (0, 0)
Matches Graph (C).
7. Y = 1X
2
+2
X −4 −2 0 2 4
Y 0 1 2 3 4
, Y = (X − 3)
2
X 0 1 2 3 4 5 6
Y 9 4 1 0 1 4 9
Early Transcendental Functions
8th Edition By Ron Larson
Complete Chapter Solutions
Manual Are Included (Ch 1 To 10)
, CH AP T ER 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
Section 1.4 Review Of Trigonometric Functions ................................................ 36
Section 1.5 Inverse Functions ............................................................................ 45
Section 1.6 Exponential And Logarithmic Functions .......................................... 62
Review Exercises ................................................................................................... 72
Problem Solving .................................................................................................... 87
,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 8. Y = 5 − 2x
Equation, Let Y Be Zero And Solve The Equation
X −1 0 1 2 5
3 4
For X. To Find The Y-Intercepts Of The Graph Of 2
An Equation, Let X Be Zero And Solve The Y 7 5 3 1 0 −1 −3
Equation For Y.
2. Symmetry Helps In Sketching A Graph Because You
Need Only Half As Many Points To Plot. Answers
Will Vary.
3. Y = − 23 X + 3
X-Intercept: (2, 0)
Y-Intercept: (0, 3)
Matches Graph
(B).
9. Y = 4 − X2
4. Y = 9 − x2 X −3 −2 0 2 3
X-Intercepts: (−3, 0), (3, 0)
Y −5 0 4 0 −5
Y-Intercept: (0, 3)
Matches Graph (D).
5. Y = 3 − X2
X-Intercepts:
)(
3, 0 , − 3, 0 )
(
Y-Intercept: (0, 3)
Matches Graph (A). 2
6. Y = X3 − X
10.
X-Intercepts: (0, 0), (−1, 0), (1, 0)
Y-Intercept: (0, 0)
Matches Graph (C).
7. Y = 1X
2
+2
X −4 −2 0 2 4
Y 0 1 2 3 4
, Y = (X − 3)
2
X 0 1 2 3 4 5 6
Y 9 4 1 0 1 4 9
