Rational Function Characteristics Graph Analysis

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WSbk97

Mathematics

Question Description

I don’t understand this Algebra question and need help to study.

Which of the following functions is shown in the graph below?

A. f left parenthesis x right parenthesis space equals space fraction numerator x cubed over denominator x squared minus 3 x space minus 4 end fraction

B. f left parenthesis x right parenthesis space equals space fraction numerator x squared over denominator x squared minus 3 x minus 4 end fraction

C. f left parenthesis x right parenthesis space equals space fraction numerator 2 x over denominator x squared minus 3 x minus 4 end fraction

D. f left parenthesis x right parenthesis space equals space fraction numerator x over denominator x squared minus 3 x minus 4 end fraction

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3 0_N 3 -4 -3 -2 - 0 1 4 5 6 7 1
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Explanation & Answer:
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Question
Which of the following functions is shown in the graph below?

A.
B.
C.
D.

Solution:
For graphing a rational function, It is best to know about asymptotes and holes of the
rational function.
In the given graph, it can be clearly seen from the graph that x = -1 and x= 4 is a...

Ubzrjbex_uryc (2034)
Duke University

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