Rational Functions and Their Discontinuities and Intercepts

The graph shown is what kind of function?

• Rational Function

• Exponential Function

• Quadratic Function

• Logistic Function

The graph shown is what kind of function?

• Rational Function

• Exponential Function

• Quadratic Function

• Logistic Function

Which of the following can have vertical asymptotes? (Select as many as needed.)

• Rational Functions

• Exponential Functions

• Quadratic Functions

• Logistic Functions

Which of the following has graphs that can be broken into separate pieces? (Select as many as needed.)

• Rational Functions

• Exponential Functions

• Quadratic Functions

• Logistic Functions

(Check all that apply) State the x-values where there is a discontinuity. Label them as removable or non-removable.

• x = 7, removable

• x = 7, non-removable

• x = 0, removable

• x = 0, non-removable

• x = 3, non-removable

In what value of x will the following function discontinuous?

• -1

• -2

• -3

• -4

Where are the discontinuities?

• holes: x=5

  asymptotes: x=3

• holes: x=3

  asymptotes: x=5

• holes: x=-5

  asymptotes: x=-3

• holes: x=-3

  asymptotes: x=-5

Describe the discontinuities

• two infinite discontinuities

• one removable discontinuity and one infinite discontinuity

• one removable discontinuity

• one removable discontinuity and one iump discontinuity

Tags

continuity

Where are the discontinuities?

• holes: x=-3

  asymptotes: x=-1

• holes: none

  asymptotes: x=-1

• holes: x=-1

  asymptotes: x=-3

• holes: x=-1

  asymptotes: none