College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)
7th Edition
ISBN: 9780134111315
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 4, Problem 1RE

(a)

To determine

The slope and y- intercept of the function.

(a)

Expert Solution
Check Mark

Answer to Problem 1RE

The slope of the function and y - intercept is 2_ and 5_ respectively.

Explanation of Solution

Formula used:

A linear function is a function of the form f(x)=mx+b, the graph of a linear function is a line with slope m and y intercept b. Its domain is the set of all real numbers.

Calculation:

Consider the given function f(x)=2x5.

Comparing the given function f(x)=2x5 with the formula for a linear function f(x)=mx+b.

That is, m=2 and b=5.

Thus, the slope of the function and y - intercept is 2_ and 5_ respectively.

(b)

To determine

The average rate of change of the function.

(b)

Expert Solution
Check Mark

Answer to Problem 1RE

The average rate of change of the function is 2_.

Explanation of Solution

Formula used:

Linear functions have a constant average rate of change. That is, the average rate of change of a linear function f(x)=mx+b is ΔyΔx=m.

Calculation:

Consider the given function f(x)=2x5.

Comparing the given function f(x)=2x5 with the formula for a linear function f(x)=mx+b.

That is, ΔyΔx=2.

Thus, the average rate of change of the function is 2_.

(c)

To determine

To sketch: The graph of the function.

(c)

Expert Solution
Check Mark

Explanation of Solution

Construct the table for the intercepts as shown below.

xf(x)
0–5
520

Draw the graph of the function f(x)=2x5 and plot the intercepts as shown below Figure 1.

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series), Chapter 4, Problem 1RE

From Figure 1, it is observed that the function is a straight line and the line intercepts at (52,0) and (0,5).

(d)

To determine

To check: The function is increasing, decreasing or constant.

(d)

Expert Solution
Check Mark

Answer to Problem 1RE

The function is increasing_.

Explanation of Solution

Theorem used:

A linear function f(x)=mx+b is increasing over its domain if its slope m is positive. It is decreasing over its domain if its slope m is negative. It is constant over its domain if its slope m is zero.

Calculation:

Consider the given function f(x)=2x5.

Comparing the given function f(x)=2x5 with the formula for a linear function f(x)=mx+b.

That is, m=2, it is positive slope.

Thus, the function is increasing_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 4 Solutions

College Algebra Enhanced with Graphing Utilities (7th Edition) (Sullivan Enhanced with Graphing Utilities Series)

Ch. 4.1 - Prob. 11AYUCh. 4.1 - Prob. 12AYUCh. 4.1 - Prob. 13AYUCh. 4.1 - Prob. 14AYUCh. 4.1 - Prob. 15AYUCh. 4.1 - Prob. 16AYUCh. 4.1 - Prob. 17AYUCh. 4.1 - Prob. 18AYUCh. 4.1 - Prob. 19AYUCh. 4.1 - Prob. 20AYUCh. 4.1 - Prob. 21AYUCh. 4.1 - Prob. 22AYUCh. 4.1 - Prob. 23AYUCh. 4.1 - Prob. 24AYUCh. 4.1 - Prob. 25AYUCh. 4.1 - Prob. 26AYUCh. 4.1 - Prob. 27AYUCh. 4.1 - Prob. 28AYUCh. 4.1 - Prob. 29AYUCh. 4.1 - Prob. 30AYUCh. 4.1 - Prob. 31AYUCh. 4.1 - Prob. 32AYUCh. 4.1 - Prob. 33AYUCh. 4.1 - Prob. 34AYUCh. 4.1 - Prob. 35AYUCh. 4.1 - Prob. 36AYUCh. 4.1 - Prob. 37AYUCh. 4.1 - Prob. 38AYUCh. 4.1 - Prob. 39AYUCh. 4.1 - Prob. 40AYUCh. 4.1 - Prob. 41AYUCh. 4.1 - Prob. 42AYUCh. 4.1 - Prob. 43AYUCh. 4.1 - Prob. 44AYUCh. 4.1 - Prob. 45AYUCh. 4.1 - Prob. 46AYUCh. 4.1 - 47. Cost Function The simplest cost function is...Ch. 4.1 - Prob. 48AYUCh. 4.1 - Prob. 49AYUCh. 4.1 - 50. International Call Plan A cell phone company...Ch. 4.1 - Prob. 51AYUCh. 4.1 - Prob. 52AYUCh. 4.1 - 53. Which of the following functions might have...Ch. 4.1 - 54. Which of the following functions might have...Ch. 4.1 - Prob. 55AYUCh. 4.1 - Prob. 56AYUCh. 4.1 - Prob. 57AYUCh. 4.1 - Prob. 58AYUCh. 4.1 - Prob. 59AYUCh. 4.1 - Prob. 60AYUCh. 4.2 - Prob. 1AYUCh. 4.2 - Prob. 2AYUCh. 4.2 - Prob. 3AYUCh. 4.2 - Prob. 4AYUCh. 4.2 - Prob. 5AYUCh. 4.2 - Prob. 6AYUCh. 4.2 - Prob. 7AYUCh. 4.2 - Prob. 8AYUCh. 4.2 - Prob. 9AYUCh. 4.2 - Prob. 10AYUCh. 4.2 - Prob. 11AYUCh. 4.2 - Prob. 12AYUCh. 4.2 - Prob. 13AYUCh. 4.2 - Prob. 14AYUCh. 4.2 - Prob. 15AYUCh. 4.2 - Prob. 16AYUCh. 4.2 - Prob. 17AYUCh. 4.2 - Prob. 18AYUCh. 4.2 - Prob. 19AYUCh. 4.2 - Prob. 20AYUCh. 4.2 - Prob. 21AYUCh. 4.2 - Prob. 22AYUCh. 4.2 - Prob. 23AYUCh. 4.2 - Prob. 24AYUCh. 4.2 - Prob. 25AYUCh. 4.2 - Prob. 26AYUCh. 4.2 - Prob. 27AYUCh. 4.2 - Prob. 28AYUCh. 4.2 - Prob. 29AYUCh. 4.2 - Prob. 30AYUCh. 4.2 - Prob. 31AYUCh. 4.3 - 1. List the intercepts of the equation . Ch. 4.3 - Prob. 2AYUCh. 4.3 - Prob. 3AYUCh. 4.3 - Prob. 4AYUCh. 4.3 - Prob. 5AYUCh. 4.3 - 6. The vertical line passing through the vertex of...Ch. 4.3 - Prob. 7AYUCh. 4.3 - Prob. 8AYUCh. 4.3 - Prob. 9AYUCh. 4.3 - Prob. 10AYUCh. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - In Problems 13-20, match each graph to one the...Ch. 4.3 - Prob. 14AYUCh. 4.3 - In Problems 13-20, match each graph to one the...Ch. 4.3 - Prob. 16AYUCh. 4.3 - In Problems 13-20, match each graph to one the...Ch. 4.3 - Prob. 18AYUCh. 4.3 - In Problems 13-20, match each graph to one the...Ch. 4.3 - In Problems 13-20, match each graph to one the...Ch. 4.3 - Prob. 21AYUCh. 4.3 - Prob. 22AYUCh. 4.3 - Prob. 23AYUCh. 4.3 - Prob. 24AYUCh. 4.3 - Prob. 25AYUCh. 4.3 - Prob. 26AYUCh. 4.3 - Prob. 27AYUCh. 4.3 - Prob. 28AYUCh. 4.3 - Prob. 29AYUCh. 4.3 - Prob. 30AYUCh. 4.3 - Prob. 31AYUCh. 4.3 - Prob. 32AYUCh. 4.3 - Prob. 33AYUCh. 4.3 - Prob. 34AYUCh. 4.3 - Prob. 35AYUCh. 4.3 - Prob. 36AYUCh. 4.3 - Prob. 37AYUCh. 4.3 - Prob. 38AYUCh. 4.3 - Prob. 39AYUCh. 4.3 - Prob. 40AYUCh. 4.3 - In Problems 33-48, (a) graph each quadratic...Ch. 4.3 - Prob. 42AYUCh. 4.3 - Prob. 43AYUCh. 4.3 - Prob. 44AYUCh. 4.3 - Prob. 45AYUCh. 4.3 - Prob. 46AYUCh. 4.3 - Prob. 47AYUCh. 4.3 - Prob. 48AYUCh. 4.3 - In Problems 49-54, determine the quadratic...Ch. 4.3 - Prob. 50AYUCh. 4.3 - Prob. 51AYUCh. 4.3 - Prob. 52AYUCh. 4.3 - Prob. 53AYUCh. 4.3 - Prob. 54AYUCh. 4.3 - In Problem 55-62, determine, without graphing,...Ch. 4.3 - Prob. 56AYUCh. 4.3 - Prob. 57AYUCh. 4.3 - Prob. 58AYUCh. 4.3 - Prob. 59AYUCh. 4.3 - Prob. 60AYUCh. 4.3 - Prob. 61AYUCh. 4.3 - Prob. 62AYUCh. 4.3 - Prob. 63AYUCh. 4.3 - Prob. 64AYUCh. 4.3 - Prob. 65AYUCh. 4.3 - Prob. 66AYUCh. 4.3 - Prob. 67AYUCh. 4.3 - Prob. 68AYUCh. 4.3 - Prob. 69AYUCh. 4.3 - Prob. 70AYUCh. 4.3 - Prob. 71AYUCh. 4.3 - Prob. 72AYUCh. 4.3 - Prob. 73AYUCh. 4.3 - In Problems 63-70, (a) graph each function. (b)...Ch. 4.3 - Prob. 75AYUCh. 4.3 - Prob. 76AYUCh. 4.3 - In Problems 73-78, for the given functions f and...Ch. 4.3 - Prob. 78AYUCh. 4.3 - Prob. 79AYUCh. 4.3 - Prob. 80AYUCh. 4.3 - Prob. 81AYUCh. 4.3 - Prob. 82AYUCh. 4.3 - Prob. 83AYUCh. 4.3 - Prob. 84AYUCh. 4.3 - Prob. 85AYUCh. 4.3 - Prob. 86AYUCh. 4.3 - Prob. 87AYUCh. 4.3 - Prob. 88AYUCh. 4.3 - Prob. 89AYUCh. 4.3 - Prob. 90AYUCh. 4.3 - 87. Minimizing Marginal Cost The marginal cost of...Ch. 4.3 - Prob. 92AYUCh. 4.3 - Prob. 93AYUCh. 4.3 - 90. Business The daily revenue R achieved by...Ch. 4.3 - Prob. 95AYUCh. 4.3 - 92. Birth Rate of Unmarried Women In the United...Ch. 4.3 - Prob. 97AYUCh. 4.3 - Prob. 98AYUCh. 4.3 - Prob. 99AYUCh. 4.3 - Prob. 100AYUCh. 4.3 - Prob. 101AYUCh. 4.3 - Prob. 102AYUCh. 4.3 - Prob. 103AYUCh. 4.3 - Prob. 104AYUCh. 4.3 - Prob. 105AYUCh. 4.3 - Prob. 106AYUCh. 4.3 - Prob. 107AYUCh. 4.3 - Prob. 108AYUCh. 4.4 - 1. Translate the following sentence into a...Ch. 4.4 - Prob. 2AYUCh. 4.4 - Prob. 3AYUCh. 4.4 - 4. Maximizing Revenue The price p (in dollars) and...Ch. 4.4 - 5. Maximizing Revenue The price p (in dollars) and...Ch. 4.4 - 6. Maximizing Revenue The price p (in dollars) and...Ch. 4.4 - 7. Enclosing a Rectangular Field David has 400...Ch. 4.4 - 8. Enclosing a Rectangular Field Beth has 3000...Ch. 4.4 - Prob. 9AYUCh. 4.4 - Prob. 10AYUCh. 4.4 - Prob. 11AYUCh. 4.4 - 12. Analyzing the Motion of a Projectile A...Ch. 4.4 - Prob. 13AYUCh. 4.4 - Prob. 14AYUCh. 4.4 - 15. Constructing Rain Gutters A rain gutter is to...Ch. 4.4 - 16. Norman Windows A Norman window has the shape...Ch. 4.4 - 17. Constructing a Stadium A track-and-field...Ch. 4.4 - Prob. 18AYUCh. 4.4 - Prob. 19AYUCh. 4.4 - Prob. 20AYUCh. 4.4 - Prob. 21AYUCh. 4.4 - Prob. 22AYUCh. 4.4 - Prob. 23AYUCh. 4.4 - Prob. 24AYUCh. 4.4 - Prob. 25AYUCh. 4.4 - Prob. 26AYUCh. 4.4 - Prob. 27AYUCh. 4.4 - Prob. 28AYUCh. 4.4 - Prob. 29AYUCh. 4.4 - Prob. 30AYUCh. 4.4 - 31. Refer to Example 1 in this section. Notice...Ch. 4.4 - Prob. 32AYUCh. 4.4 - Prob. 33AYUCh. 4.4 - Prob. 34AYUCh. 4.4 - Prob. 35AYUCh. 4.5 - Prob. 1AYUCh. 4.5 - Prob. 2AYUCh. 4.5 - Prob. 3AYUCh. 4.5 - Prob. 4AYUCh. 4.5 - Prob. 5AYUCh. 4.5 - Prob. 6AYUCh. 4.5 - Prob. 7AYUCh. 4.5 - Prob. 8AYUCh. 4.5 - Prob. 9AYUCh. 4.5 - Prob. 10AYUCh. 4.5 - Prob. 11AYUCh. 4.5 - Prob. 12AYUCh. 4.5 - Prob. 13AYUCh. 4.5 - Prob. 14AYUCh. 4.5 - Prob. 15AYUCh. 4.5 - Prob. 16AYUCh. 4.5 - Prob. 17AYUCh. 4.5 - Prob. 18AYUCh. 4.5 - Prob. 19AYUCh. 4.5 - Prob. 20AYUCh. 4.5 - Prob. 21AYUCh. 4.5 - Prob. 22AYUCh. 4.5 - Prob. 23AYUCh. 4.5 - Prob. 24AYUCh. 4.5 - Prob. 25AYUCh. 4.5 - Prob. 26AYUCh. 4.5 - Prob. 27AYUCh. 4.5 - Prob. 28AYUCh. 4.5 - Prob. 29AYUCh. 4.5 - Prob. 30AYUCh. 4.5 - Prob. 31AYUCh. 4.5 - Prob. 32AYUCh. 4.5 - Prob. 33AYUCh. 4.5 - Prob. 34AYUCh. 4.5 - Prob. 35AYUCh. 4.5 - Prob. 36AYUCh. 4.5 - Prob. 37AYUCh. 4.5 - Prob. 38AYUCh. 4.5 - Prob. 39AYUCh. 4.5 - Prob. 40AYUCh. 4.5 - Prob. 41AYUCh. 4.5 - Prob. 42AYUCh. 4.5 - Prob. 43AYUCh. 4.5 - Prob. 44AYUCh. 4.5 - Prob. 45AYUCh. 4.5 - Prob. 46AYUCh. 4.5 - Prob. 47AYUCh. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - For the graph of the function f, Find the domain...
Knowledge Booster
Background pattern image
Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Text book image
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
Text book image
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
Learn Algebra 6 : Rate of Change; Author: Derek Banas;https://www.youtube.com/watch?v=Dw701mKcJ1k;License: Standard YouTube License, CC-BY