Calculus,
Early Transcendental Functions 8th
Edition
by Ron Larson
** Immediate Download
** Swift Response
** All Chapters included
, 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
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 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.
3. y = − 32 x + 3
x-intercept: ( 2, 0)
y-intercept: (0, 3)
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) y −5 0 4 0 −5
Matches graph (d).
5. y = 3 − x 2
x-intercepts: ( )(
3, 0 , − 3, 0 )
y-intercept: (0, 3)
Matches graph (a).
6. y = x3 − x
10. y = ( x − 3)
2
x-intercepts: (0, 0), ( −1, 0), (1, 0)
y-intercept: (0, 0) x 0 1 2 3 4 5 6
Matches graph (c). y 9 4 1 0 1 4 9
7. y = 1x +2
2
x −4 −2 0 2 4
y 0 1 2 3 4
2