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2.) This question has several parts that must be completed sequentially. If you

ID: 2895353 • Letter: 2

Question

2.)This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.

From the graph of f, state each x-value at which f is discontinuous. For each x-value, determine whether f is continuous from the right, or from the left, or neither.

Step 1

To find the numbers for which f is discontinuous, we look for x-values for which the function is not defined or the left and right limits do not match.

Starting from the left and moving right, the first x-value for which f(x) is discontinuous is x =  .

At this point, f(x) is not defined. Therefore, at this point f is which of the following.

continuous from the right

continuous from the left    

neither

Explanation / Answer

From the graph we can say

The function isdiscontinuous at x=-1 from left to right

The function left hand limit and right hand limit does not match at x=-1

Similarly at x=1, x=2 the function is discontinuous

At the point x =2 function is not defined and neither continuous