1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been dilated to produce the cubic function. State the function used to dilate the quadratic function. b. Determine a linear function that could have been dilated to produce the cubic function. State the function used to dilate the linear function. . Consider the function f(x)= x³ + 2x² - 5x - 6. a. Use technology to graph the function, and then sketch it on the grid. b. Determine the domain and range of the function. c. Determine the intervals over which the function is increasing and decreasing. d. Determine the x- and y-intercepts of the graph of f(x). e. Determine the values of x for which f(x) = -4. -8 -6 -4 -2 8 6 4 2- H4- -8 -6-4-2 -6 0 -8- ty 16- 12- 8- 4- -4- 0 2 4 6 6 00 8 Av

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Stretch
1. Consider the graph of a cubic function.
a. Determine a quadratic function that
could have been dilated to produce the
cubic function. State the function used
to dilate the quadratic function.
b. Determine a linear function that could
have been dilated to produce the cubic
function. State the function used to
dilate the linear function.
2. Consider the function f(x)= x³ + 2x² - 5x - 6.
a. Use technology to graph the function,
and then sketch it on the grid.
b. Determine the domain and range of
the function.
c. Determine the intervals over which the
function is increasing and decreasing.
d. Determine the x- and y-intercepts of the
graph of f(x).
e. Determine the values of x for which
f(x) = -4.
-8 -6 -4
-8
-6
A
-4
-2
ty
8
6-
4
2-
-4-
-2
02
-6-
-8-
ty
16
12-
8-
st
4-
-4-
-8-
0
-12-
-16
2
4
4
6
6
8
·00
8
Ax
**
Transcribed Image Text:Stretch 1. Consider the graph of a cubic function. a. Determine a quadratic function that could have been dilated to produce the cubic function. State the function used to dilate the quadratic function. b. Determine a linear function that could have been dilated to produce the cubic function. State the function used to dilate the linear function. 2. Consider the function f(x)= x³ + 2x² - 5x - 6. a. Use technology to graph the function, and then sketch it on the grid. b. Determine the domain and range of the function. c. Determine the intervals over which the function is increasing and decreasing. d. Determine the x- and y-intercepts of the graph of f(x). e. Determine the values of x for which f(x) = -4. -8 -6 -4 -8 -6 A -4 -2 ty 8 6- 4 2- -4- -2 02 -6- -8- ty 16 12- 8- st 4- -4- -8- 0 -12- -16 2 4 4 6 6 8 ·00 8 Ax **
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