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...
Related questions
Question
![2x+3
- X
1. Sketch a graph of f(x) = {
3
1-x²
if x < -1
if x>-1
if x < 2
if x > 2
2. Sketch a graph of h(x) = {
X
3. Consider the graph of y = f(x) below:
-3
y
YA
2
0
(a) Let S = (-1,2] be a subdomain for the graph above. What is I
(b) Let U = (-1,3] be a subdomain for the graph above. What is I
(c) Write a piecewise function for the graph.
4. Consider the graph of y = h(x) below:
3
0
h
3
X
(a) Find the values of h(-2), h(0), h(2), and h(3).
(b) Determine the (usable) domain and range of h.
(c) Find the values of x for which h(x) = 3.
(See next page.)
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadc90e7f-0503-4b0c-81a1-0c03679b7320%2F5f0cc39d-b9bc-4c09-b973-1075d6ac88d7%2Fhiqhhe5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2x+3
- X
1. Sketch a graph of f(x) = {
3
1-x²
if x < -1
if x>-1
if x < 2
if x > 2
2. Sketch a graph of h(x) = {
X
3. Consider the graph of y = f(x) below:
-3
y
YA
2
0
(a) Let S = (-1,2] be a subdomain for the graph above. What is I
(b) Let U = (-1,3] be a subdomain for the graph above. What is I
(c) Write a piecewise function for the graph.
4. Consider the graph of y = h(x) below:
3
0
h
3
X
(a) Find the values of h(-2), h(0), h(2), and h(3).
(b) Determine the (usable) domain and range of h.
(c) Find the values of x for which h(x) = 3.
(See next page.)
X
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