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

The function is not defined for x=0, so the given function has no y-intercept.

x-intercept of the function is 9.

The function has no vertical or horizontal asymptote.

The function has whole at x=0.

Step-by-step explanation:

The given function is

It is a linear function and graph of a linear function is a straight line.

The function is not defined for x=0, so the given function has no y-intercept.

Substitute f(x)=0 to find the x-intercept.

x-intercept of the function is 9.

At x=1,

Connect (9,0) and (1,-8) by a straight line.

After cancellation, the given function is a linear function. So, the function has no vertical or horizontal asymptote.

Equate the cancelled factor equal to 0, to find the whole.

Therefore, the function has whole at x=0.

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step-by-step explanation: