The root(s) of the function. Enter your answer as a number or string of numbers. Separate multiple answers with commas and if there are no roots write DNE. (For example, if the roots are 3 and 4 enter 3,4).The vertical asymptote(s) of the function.  Separate multiple answers with a comma.  If there are no vertical asymptotes write DNE.The horizontal asymptote.  If there is no horizontal asymptote, write DNE.The vertical intercept.  If there is no vertical intercept, write DNE. A:f(x)=x−3x−2 i: Root(s) of fii: Vertical asymptote(s) of f: x= iii: Horizontal asymptote of f: y=iiii: Vertical intercept of f: f(0)=

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Asked Dec 2, 2019
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  • The root(s) of the function. Enter your answer as a number or string of numbers. Separate multiple answers with commas and if there are no roots write DNE. (For example, if the roots are 3 and 4 enter 3,4).
  • The vertical asymptote(s) of the function.  Separate multiple answers with a comma.  If there are no vertical asymptotes write DNE.
  • The horizontal asymptote.  If there is no horizontal asymptote, write DNE.
  • The vertical intercept.  If there is no vertical intercept, write DNE.

 

A:f(x)=x−3x−2

 i: Root(s) of f

ii: Vertical asymptote(s) of f: x= 

iii: Horizontal asymptote of f: y=

iiii: Vertical intercept of f: f(0)=  

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Expert Answer

Step 1

Given that

f(x) = x – 3x – 2       

That is f(x) = -2x – 2            …(1)

Step 2
  1. Roots of f(x): The roots are the value of x for which f(x) = 0, so

f(x) = 0

-2x -2 = 0              [Using (1)]

-2x = 2

x = -1

Step 3

ii, iii)Vertical and horizontal asymptotes: Polynomial functions of degree 1 or higher can not have vertical and horizontal asy...

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Math

Calculus