(a) Explanation Given Information: The function f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 . Where t represents months. Graph: Consider the curve, f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 Steps to graph the f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 using Ti-83: Step1: Press “ Y= ” key, then enter the model N = 3000 ( 0.2 ) 0.6 t as “ Y 1 = 3000 ( 0.2 ) ^ ( 0.6 ^ X ) ”then press enter. Step2: Press “WINDOW” and set the graphing window as: X Min = − 5 , X Max = 5 , X Scl = 1 Y Min = − 5 , Y Max = 5 , Y Scl = 1 Step4: Press “GRAPH” key. The graph of function f ( x ) = ln x , f ( x ) = ln ( − 2 x ) , f ( x ) = ln ( − x ) , f ( x ) = ln ( − 0 (b) To determine The difference between curve of function f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 when | a | > 1 and 0 < | a | < 1 .

Mathematical Applications for the Management, Life, and Social Sciences

12th Edition

ISBN: 9781337625340

Author: Ronald J. Harshbarger, James J. Reynolds

Publisher: Cengage Learning

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In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 5.2, Problem 50E

(a)

To determine

To graph: The function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 and explain the difference between curve when a>0 and a<0.

(b)

To determine

The difference between curve of function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 when |a|>1 and 0<|a|<1.

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Chapter 5.2, Problem 49E

Chapter 5.2, Problem 51E

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Chapter 5 Solutions

Mathematical Applications for the Management, Life, and Social Sciences

Ch. 5.1 - 1. Can any value of x give a negative value for y...Ch. 5.1 - 2. If , what asymptote does the graph of ...Ch. 5.1 - Prob. 3CP Ch. 5.1 - Prob. 4CP Ch. 5.1 - Prob. 5CP Ch. 5.1 - Prob. 6CP Ch. 5.1 - Prob. 1E Ch. 5.1 - In Problems 1-8, use a calculator to evaluate each...Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E

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To graph: The function f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 and explain the difference between curve when a > 0 and a < 0 .

Solution Summary: The author explains how to graph the function f(x)=mathrmlnx for a=-2,-1,-0.5,0.2,3.

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To graph: The function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 and explain the difference between curve when a>0 and a<0.

The difference between curve of function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 when |a|>1 and 0<|a|<1.

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Chapter 5 Solutions

To graph: The function f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 and explain the difference between curve when a &gt; 0 and a &lt; 0 .

Solution Summary: The author explains how to graph the function f(x)=mathrmlnx for a=-2,-1,-0.5,0.2,3.

Concept explainers

Videos

To graph: The function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 and explain the difference between curve when a>0 and a<0.

The difference between curve of function f(x)=lnx and f(ax)=lnax for a=−2,−1,−0.5,0.2,3 when |a|>1 and 0<|a|<1.

Want to see the full answer?

Chapter 5 Solutions

To graph: The function f ( x ) = ln x and f ( a x ) = ln a x for a = − 2 , − 1 , − 0.5 , 0.2 , 3 and explain the difference between curve when a > 0 and a < 0 .