5/12: Continuity in Piecewise Functions

Name the locations of all JUMP discontinuities.

• -4, -1

• -4, 0, 1

• 0

• -4, 0

Tags

CCSS.HSF-IF.C.7D

Name the locations of all REMOVABLE discontinuities.

• -1, 2, 4

• -1, 1, 4

• 1, 4

• -1, 4

Tags

CCSS.HSF-IF.C.7D

Name the locations of all INFINITE discontinuities.

• -4

• -4, 0

• 0

Tags

CCSS.HSF-IF.C.7D

Name the types and locations of all discontinuities.

• Removable at x = -1, Jump at x = 2

• Infinite at x = -1, Jump at x = 2

• Removable at x = -1, Infinite at x = 2

• Jump at x = -1, Infinite at x = 2

Tags

CCSS.HSF-IF.C.7B

At what values should you evaluate to determine if the function is continuous?

• 1 and 2

• 1 and 3

• -1 and 5

• -1 and 3

Tags

CCSS.HSF-IF.C.7B

Is the following function is continuous at x=0?

• Continuous

• Discontinuous

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Is the following function continuous at

 $x=1$  ?

• Yes, because  $2\left(1\right)\ -1\ =\ 1$  and  $\left(1\right)^2\ =1$  

• No, because  $2\left(1\right)\ -1\ =1$  and  $\left(1\right)^2=2$  

• No, because  $\left(1\right)^2=1$  and  $\frac{\left(1\right)^2+\left(1\right)-30}{\left(1\right)-5}=7$  

Tags

CCSS.HSF-IF.C.7B

Is the following function continuous at  $x=3$  

• Yes, because  $2\left(1\right)\ -1\ =\ 1$  and  $\left(1\right)^2\ =1$  

• No, because  $2\left(3\right)\ -1\ =5$  and  $\left(3\right)^2=9$  

• No, because  $\left(3\right)^2=9$  and  $\frac{\left(3\right)^2+\left(3\right)-30}{\left(3\right)-5}=7$  

Tags

CCSS.HSF-IF.C.7B