Explanation Given information: The family of function is f ( x ) = log ( c x ) ......... (1) Graph: Substitute 1 for c in the equation (1) to obtain the value of f ( 1 ) . f ( 1 ) = log ( ( 1 ) x ) = log x Substitute 2 for c in the equation (1) to obtain the value of f ( 2 ) . f ( 2 ) = log ( ( 2 ) x ) = log ( 2 x ) Substitute 3 for c in the equation (1) to obtain the value of f ( 3 ) . f ( 3 ) = log ( ( 3 ) x ) = log ( 3 x ) Substitute 4 for c in the equation (1) to obtain the value of f ( 4 ) To determine (b) To find: The relation between the graph of family of functions f ( x ) = log ( c x ) .

7th Edition

ISBN: 9781305115545

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …

Videos

Question

Chapter 4.3, Problem 91E

To determine

(a)

To sketch:

The graph of the family of function f(x)=log(cx) for the values of c as 1,2,3, and 4.

To determine

(b)

To find:

The relation between the graph of family of functions f(x)=log(cx).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.3, Problem 90E

Chapter 4.3, Problem 92E

Students have asked these similar questions

How long is a guy wire reaching from the top of a 15-foot pole to a point on the ground 9-feet from the pole? Question content area bottom Part 1 The guy wire is exactly feet long. (Type an exact answer, using radicals as needed.) Part 2 The guy wire is approximatelyfeet long. (Round to the nearest thousandth.)

Question 6 Not yet answered Marked out of 5.00 Flag question = If (4,6,-11) and (-12,-16,4), = Compute the cross product vx w k

Consider the following vector field v^-> (x,y): v^->(x,y)=2yi−xj What is the magnitude of the vector v⃗ located in point (13,9)? [Provide your answer as an integer number (no fraction). For a decimal number, round your answer to 2 decimal places]

Chapter 4 Solutions

College Algebra

Ch. 4.1 - The function f(x)=5x is an exponential function...Ch. 4.1 - Match the exponential function with one of the...Ch. 4.1 - (a) To obtain the graph of g(x)=2x1 , we start...Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - The exponential function f(x)=(12)x+3 has the...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...Ch. 4.1 - Evaluating Exponential Functions use a calculator...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...Ch. 4.1 - Evaluating Exponential Functions Use a calculator...

Knowledge Booster

$Algebra$

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.

(a) To sketch: The graph of the family of function f ( x ) = log ( c x ) for the values of c as 1 , 2 , 3 , and 4 .

Solution Summary: The author illustrates the graph of the family of function f(x)=mathrm

Concept explainers

Videos

(a)

To sketch:

The graph of the family of function f(x)=log(cx) for the values of c as 1,2,3, and 4.

(b)

To find:

The relation between the graph of family of functions f(x)=log(cx).

Want to see the full answer?

Chapter 4 Solutions

(a) To sketch: The graph of the family of function f ( x ) = log ( c x ) for the values of c as 1 , 2 , 3 , and 4 .

Solution Summary: The author illustrates the graph of the family of function f(x)=mathrm

Concept explainers

Videos

(a) To sketch: The graph of the family of function f(x)=log(cx) for the values of c as 1,2,3, and 4.

(b) To find: The relation between the graph of family of functions f(x)=log(cx).

Want to see the full answer?

Chapter 4 Solutions

(a)

To sketch:

The graph of the family of function f(x)=log(cx) for the values of c as 1,2,3, and 4.

(b)

To find:

The relation between the graph of family of functions f(x)=log(cx).