1. f(x)= 3x / x^2 + 1 - Vertical Asymtote As x → −, f(x) →...

f(x)= 3x / x^2 + 1

- Vertical Asymtote

As x → ⁻, f(x) →

As x → ⁺, f(x) →

- Any hole in graph

- Horizontal asymtote

As x → ⁻, f(x) →

As x → ⁺, f(x) →

Solutions

Expert Solution

The function f(x) is

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Vertical Asymptotes is the values of x where the function becomes infinity and minus infinity which are points where the denominator becomes 0

This implies, there are NO Vertical Asymptotes

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Holes are values of x where the function becomes indeterminate form 0/0.

This implies, there are NO HOLES

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Horizontal asymptotes are values of y as x approaches infinity or minus infinity

Therefore, y=0 are horizontal asymptotes

milcah answered 1 year ago

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