Answer:
Rational Function
Step-by-step explanation:
Gives the function:
[tex]f(x) = \frac{x}{x^2-9}[/tex]
It has the following,
Domain
x∈ [tex]\mathbb{R}[/tex] : [tex]x\neq 3, x\neq -3[/tex]
Range
[tex]\mathbb{R}[/tex] (All real numbers)
End behaviour
As x[tex]x \rightarrow \infty, y \rightarrow 0[/tex]
Horizontal and Vertical Asymptote
Vertical [tex]x = 3, x=-3[/tex]
Horizontal [tex]y = 0[/tex]
x-intercept: (0,0)
y-intercept: (0,0)
**The Graph is in the annex
