Question
Asked Oct 26, 2019
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For the problem: f(x)= x^2+x-12/x+3

d. Find horizontal or slant asymptotes, if any.

e. Graph the asymptotes, if any, and use all the information to connect the points and graph f(x)

f. What is the domain and range?

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Expert Answer

Step 1

The given polynomial is,

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х* +x-12 f(x) х+3

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Step 2

a) As the polynomial in the numerator is of higher degree than the denominator, then there is a slant asymptote.

The slant asymptote is obtained by dividing the numerator by the denominator.

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x-2 x3xx12 +x-6 -6 6 x2 x12 x2) x+ 3 Hence y x2is the slant asymptote.

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Step 3

b) The asymptotes and the functi...

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y 10t y x-2 10 -10 x2 x12 f (x)= x+3 10

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Math

Algebra