# 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!

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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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Step 1

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

Given,

Step 2

Part a help_outlineImage TranscriptioncloseFor 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) fullscreen
Step 3

Part b

... help_outlineImage TranscriptioncloseReplace 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 fullscreen

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