Rational Functions and Expressions

Find the vertical asymptote(s), if any, of the graph of the rational function.

Mathematical Equivalence

ON

Find the x-intercept for the function.

• (3, 0)

• (-3, 0)

• (3, 0) and (-3, 0)

• None

Find the vertical asymptote for the function.

• x= -3

• x= 0

• y= -3

• None

Find the horizontal asymptote for the function.

• x= -3

• y= 0

• y= -3

• None

• y = -2

• y = 0

• y = 1/2

• x = 2

• none

The horizontal asymptote equals zero when:

• the exponents in the numerator and denominator are equal

• the exponents in the denominator are greater than the numerator

• the exponents in the numerator are greater than the denominator

• the numerator equals zero

• There is a hole at x=3

• There is a hole at x= -2

• The horizontal asymptote is at y=0

• The domain is {x|x≠2,3}

Select all of the true statements.

• A hole occurs where x=3

• vertical asymptote at x=3

• vertical asymptote at x=5

• A hole occurs where x=5

• The function is discontinuous at x={-5, -3}

Find the hole, if there is one, for the function.

• (-3, -12)

• (-3, 0)

• (3, 0)

• None

Multiply the Rational Expression

• A.

• B.

• C.

• D.