ALGEBRA 2, 2012

 PAGE: 582 SET: Exercises PROBLEM: 8

The function is .

Step 1: Find the zeros.

(Set )

(Simplify)

There is a zero at .

Step 2: Draw the asymptotes.

Find the vertical asymptote.

(Set )

(Subtract from each side)

(Divide each side by )

(Cancel common terms)

There is a vertical asymptote at .

The degree of the numerator is greater than the degree of the denominator.

Thus, there is no horizontal asymptote.

Step 3: Draw the graph:

Make a table of values.

Graph:

Graph the function .

Plot the points obtained in the table.

Graph of the function is

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