Piecewise Functions Continuity

Determine the type(s) and location(s) of all discontinuities.

• jump at x = -3, removable at x = 2

• removable at x = -3.

• infinite at x = 2.

• infinite at x = -3.

Choose the type of Discontinuity on the given graph

• Jump

• Rational

• Removable

• Infinite

The graph represents a piecewise function. How many pieces make up the function?

• 1

• 2

• 3

• 4

Find f(2)

• 3

• -2

• 2

• infinite outputs

Evaluate f(-8)

• 0

• -2

• Undefined

• 6

Evaluate f(0)

• 7

• -3

• Undefined

• 3

Evaluate f(-4)

• 7

• -3

• Undefined

• 3

Using the pictured graph, what is f(-1)?

• -3

• -1

• 1

• 3

Using the pictured graph, what is the domain of the red line? 

• x<3

• -3≤x≤1

• x>1

• x≤-3

Choose the type of Discontinuity on the given graph

• Jump

• Rational

• Removable

• Infinite