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Use the graph to answer the question about discontinuity refer to image

Use the graph to answer the question about discontinuity refer to image-example-1

1 Answer

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Given the graph of the function

We will check the discontinuity of the function at x = -3

So, as shown in the graph :

as the function reach to x = -3 from the right and the left , the value of the function = -1

But at x = -3 , the function does not have a value

So, there is a discontinuity at x = -3, but can be removed if f(-3) = -1

So, the answer is : option A

There is a discontinuity that can be removed by defining f(-3) = -1

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