[Practice] Limits of Piecewise Functions

What is the domain of the piecewise function?

•  $\left(-\infty,\infty\right)$  

•  $\left[-\infty,\infty\right]$  

•  $\left(-\infty,-3\right)\cup\left(-2,5\right)\cup\left(5,\infty\right)$  

•  $\left(-\infty,-3\right]\cup\left[-2,5\right)\cup\left(5,\infty\right)$  

•  $\left(-\infty,-3\right)\cup\left(-2,5\right]\cup\left[5,\infty\right)$  

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow-5}f\left(x\right)$ ?

• -5

• -2

• -1

• 0

• 1

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow-3^-}f\left(x\right)$ ?

• -5

• -3

• -1

• 0

• DNE

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow-2^{ }}f\left(x\right)$ ?

• -5

• -2

• -1

• 0

• DNE

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow-2^+}f\left(x\right)$ ?

• -5

• -2

• -1

• 0

• DNE

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow0}f\left(x\right)$ ?

• 0

• 4

• 5

• 8

• DNE

In finding $\lim_{x\rightarrow2^-}f\left(x\right)$ , which sub-function should be observed?

• red

• blue

• orange

• green

• violet

In finding $\lim_{x\rightarrow2^+}f\left(x\right)$ , which sub-function should be observed?

• red

• blue

• orange

• green

• violet

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow2}f\left(x\right)$ ?

• 0

• 4

• 6

• 8

• DNE

Given the graph of  $f\left(x\right)$ , what is $\lim_{x\rightarrow4}f\left(x\right)$ ?

• 0

• 4

• 6

• 8

• DNE