In: Math
1.
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) →
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