Question

Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function on

Answer 1

Answer:

Rational Function

Step-by-step explanation:

Gives the function:

$f(x) = \frac{x}{x^2-9}$

It has the following,

Domain

x∈ $\mathbb{R}$ : $x\neq 3, x\neq -3$

Range

$\mathbb{R}$  (All real numbers)

End behaviour

As x$x \rightarrow \infty, y \rightarrow 0$

Horizontal and Vertical Asymptote

Vertical $x = 3, x=-3$

Horizontal $y = 0$

x-intercept: (0,0)

y-intercept: (0,0)

**The Graph is in the annex