2- 1- -2 -1 -1 -2- www.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.2: Adding And Subtracting Polynomials
Problem 52WE
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Question

The graph of a logarithmic function is given. Select the function for the graph from the following options:

f(x) = log x,

g(x) = log(-x),

h(x) = log(2 - x),

r(x) = 1 + log(2 - x).

2-
1-
-2 -1
-1
-2-
www.
Transcribed Image Text:2- 1- -2 -1 -1 -2- www.
Expert Solution
Step 1

Consider the figure of graph of a function-

Select function for the graph among the functions. 

fx=log x, gx=log -x, hx=log 2-x, rx=1+log 2-x .

 

Observe from the graph that graph passes through 1,1 that is, at x=1y=1.

The function must satisfy these points if the figure represent their graph. Check.

Since

 f1=log 1=0

Implies graph of fx does not pass through 1,1. Therefore, the graph is not of the function fx.

Step 2

Similarly,

Since,

g1=log -1=Not Defined

Therefore, the graph is not of the function gx.

 

Similarly,

Since,

h1=log 2-1=log 1=0

Therefore, the graph is not of the function hx.

 

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