2 +3 x – 1 f (x) = %D

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...
icon
Related questions
Question
Consider the following function:
2
+ 3
X – 1
f (x)
Sketch a graph of this function, identifying any transformations from the function y = .
• Identify the domain, range, and intervals of increasing and decreasing for the
function.
Find the average rate of change on the interval [2,4].
Find the difference quotient for this function. Recall that the difference quotient is
given by the following:
f (x + h) – f(x)
h
Transcribed Image Text:Consider the following function: 2 + 3 X – 1 f (x) Sketch a graph of this function, identifying any transformations from the function y = . • Identify the domain, range, and intervals of increasing and decreasing for the function. Find the average rate of change on the interval [2,4]. Find the difference quotient for this function. Recall that the difference quotient is given by the following: f (x + h) – f(x) h
Expert Solution
Step 1

Note:

Here we are solving 1st three parts of the question.

For reaming question please submit it again for the solution. 

Given:

The function f(x)=2x-1+3

To find:

a) sketch a graph

b) range and domain

c) average rate of change on interval [2, 4] .

Step 2

Here,

f(x)=2x-1+3

The values of f(x) are,

x f(x)
-2 73
-1 2
0 1
2 5

Plot this point on the graph,

Thus, 

The required graph is,

Calculus homework question answer, step 2, image 1
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Polynomial
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning