Sketch the graph of each rational function showing all the key features. Verify your graph by graphing the function on the graphing calculator. 5. f(x) = x / x2 − 9

Question

asked Aug 25, 2020 105k views

1 Answer

Cmbaxter · Answer 1 · 2020-08-31T19:41:48+0000

Answer:

Rational Function

Explanation:

Gives the function:

f(x) = (x)/(x^2-9)

It has the following,

Domain

x∈
$\mathbb{R}$ :
$x\\eq 3, x\\eq -3$

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