Rational Function Discontinuity

Which asymptotes are determined by looking at the denominator of a function? 

• vertical

• horizontal

• slant

• none

The value of a graphed function that does not exist.

• Point of Discontinuity

• Removable Discontinuity

• Vertical Asymptotes

• Discontinuous Graph

A function that has common factors in both the numerator and denominator.

• Removable Discontinuity

• Rational Function

• Discontinuous Graph

• Horizontal Asymptotes

The graphed function shows an example of

• Continuous Graph

• Point of Discontinuity

• Asymptotes

• Antiderivative of a Function

A function that does not have common factors in both the numerator and denominator.

• Non-Removable Discontinuity

• Continuous Graph

• Rational Function

• Vertical Asymptotes

The graphed function shows an example of

• Continuous Graph

• Point of Discontinuity

• Asymptotes

• Antiderivative of a Function

Name the discontinuity at x=2.

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• Continuous at x=2

A hole in the graph of a rational function is what type of discontinuity?

• Infinite Discontinuity

• Removable Discontinuity

• Jump Discontinuity

• A hole is not a discontinuity

Which of the following rational functions has the three attributes: vertical asymptote at x = -3, horizontal asymptote at y = 0, and a zero at -1?

Solve:

• x = -1, 5

• No Solution

• x = -4, 5

• x= -4