Can you please help with the following problem: f(x)=x+1/x^2+x-20 a. Find the x and y interceptsb. Is the function even, odd, or neither?c. Find the vertical asymptotesd. Find the 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)d. What is the domain and range?Thank you!

Question
Asked Oct 25, 2019
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Can you please help with the following problem: 

f(x)=x+1/x^2+x-20 

a. Find the x and y intercepts

b. Is the function even, odd, or neither?

c. Find the vertical asymptotes

d. Find the 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)

d. What is the domain and range?

Thank you!

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Expert Answer

Step 1

As per our policy I am solving only 1st three subparts and for the subparts please post the question again separately.

Given,

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x+1 f(x) = 2 -20

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Step 2

Part a

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For y-intercept put x 0 0+1 f(x) 02+0-20 20 So, y-intercept is (0,-- 20, For x-intercept put y 0 i.e. f(x) 0. x+1 f(x) x2+x-20 x1 0 x-1 So, x-intercept is (-1,0)

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Step 3

Part b

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Replace x by -x, we get -x+1 -x+1 f(x) and also f(-x) -f(x) (x)2+(x)-20 х2—х-20 So, f(x) is neither odd nor even function

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