Question

Asked Sep 10, 2019

Step 1

The function has a break at x = 3. We need to evaluate if the function is continuous at x = 3.

Step 2

As we approach x = 3 from the left hand side we get, g(3 - h) = - (3 - h) / 2 = - 3 / 2

As we approach x = 3 from the right hand side we get, g(3 + h) = - (3+ h) / 2 = - 3 / 2

g(3) = 5

Since the left hand limit = right hand limit, but they ae not equal to the value of the function at the given point, hence the given function is not continuous at x = 3.

Step 3

The table for plot will be as show on...

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