[PS 2.2] Continuity: Equation Inspection

In what value of x is f(x) discontinuous?

• 3

• -3

• 6

• -6

What type of discontinuity is present at x = -3?

• removable discontinuity

• jump discontinuity

• infinite discontinuity

• endpoint discontinuity

Is f(x) continuous at x = 0?

• Continuous

• Discontinuous

Which of the following best describes the continuity of f(x) at $x=2$ ?

• f(x) is Continuous

• there is a Removable Discontinuity

• there is a Jump Discontinuity

• there is an Infinite Discontinuity

Which of the following best describes the continuity of f(x) at x = 1?

• f(x) is Continuous

• there is a Removable Discontinuity

• there is an Infinite Discontinuity

• there is a Jump Discontinuity

Which of the following best describes the continuity of g(x) at x = 5?

• g(x) is Continuous

• there is a Removable Discontinuity

• there is an Infinite Discontinuity

• there is a Jump Discontinuity

Select all that is TRUE about the continuity of h(x):

• h(x) is continuous everywhere.

• There is a Jump Discontinuity at x = -5.

• There is an Infinite Discontinuity at x = -5.

• There is an Infinite Discontinuity at x = 5.

• There is an Infinite Discontinuity at x = 7.

 $R\left(x\right)=\frac{x^2-4}{x-2}$  

Select all that is TRUE about the continuity of R(x):

• R(x) is continuous everywhere.

• There is a Jump Discontinuity at x = 2.

• There is an Infinite Discontinuity at x = 2.

• There is a Removable Discontinuity at x = 2.

• There is an Infinite Discontinuity at x = -2.