Given the piecewise function defined below and its graph determine the following

ID: 3213522 • Letter: G

Question

Given the piecewise function defined below and its graph determine the following.

a) Does the limit of this function exist as x approaches -2? Why or Why Not? If so, what is it?

b) Is this graph continuous at -2? Why or Why not? If it is not continuous what exists in the graph at x = -2?

c) Does the limit of this graph exist as x approaches zero? Why or Why Not?

d) Is this graph continuous at 4? Why or Why not?

e) What is the limit of this function as x approaches 4 from the left? How about the right? What exists in the graph at x = 4?

f) Does there appear to be a limit as x approaches positive infinity? If so, what is it? What exists in the graph as x approaches infinity?

g) g) Using set notation describe where this graph is continuous.

a) no, because its different in -2+ and -2-

b) yes it is continuous

c)no because its different in 0+ and 0-

d)no

e)- from left and + from right

f)it appears to be 0

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