Identify Parts of Rational Functions

How do you find the holes?

• Set the simplified denominator equal to zero and solve.

• Set the canceled out parts of the denominator equal to zero and solve.

• Set the simplified numerator equal to zero and solve.

• Use the leading terms only from the top and bottom and simplify.

• Divide the polynomial on the top by the polynomial on the bottom.

What are the vertical and horizontal asymptotes of \frac{2x+4}{x-2}

• vertical: x = 2 horizontal: y = 2

• vertical: x = 2 horizontal: y = -2

• vertical: x = -2 horizontal: y = 2

• vertical: x = -2 horizontal: y = -2

Match the picture of the graph to its corresponding rational equation below.

What is the y - intercept of this rational function?

• (0, 2)

• (-2, 0)

• There are two:  y = +/- 2

• (0, -2)

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

How do you find the vertical asymptotes?

• Set the simplified denominator equal to zero and solve.

• Set the canceled out parts of the denominator equal to zero and solve.

• Set the simplified numerator equal to zero and solve.

• Use the leading terms only from the top and bottom and simplify.

• Divide the polynomial on the top by the polynomial on the bottom.

How do you find the horizontal asymptote?

• Set the simplified denominator equal to zero and solve.

• Set the canceled out parts of the denominator equal to zero and solve.

• Set the simplified numerator equal to zero and solve.

• Examine the degree of the numerator and denominator.

• Divide the polynomial on the top by the polynomial on the bottom.

Choose the correct graph that matches with the equation.

• A

• B

• C

• D

Choose the best equation for the graph.

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• 
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Identify the Horizontal Asymptote for this rational function

• y = 0

• x = 2

• y = - 2

• x = 0