Determine whether a function is continuous or discontinuous. Determine whether the function is…

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Determine whether a function is continuous or discontinuous.

Determine whether the function

is continuous at x=  -4. Start with the first condition of the continuity test. The function is not defined at x = -4 because substituting -4 for x results in a denominator of zero. So the function is discontinuous at x = -4.

2. Determine whether each function is continuous at the given x-value. Justify your response using the continuity test.