Question: Determine whether the function f ( x ) = x 2 - 1 6 x - 4 is continuous on the interval - 4 ,

Determine whether the function

f (x) = \frac{x^{2} - 16}{x - 4}

is continuous on the interval

- 4, 4 .

The function is continuous on the given interval.

The function is not continuous on the given interval.

If the function is not continuous on the given interval, find the numbers in the interval, if any, at which

f

is continuous.

(

Give your answer as an interval in the form

(^{* *}, ?^{* *}) .

Use the symbol

for combining intervals and an appropriate type of parenthesis

" (", ") ", " [", "] "

depending on whether the interval is open or closed. Enter DNE if the function is not continuous anywhere. Express numbers in exact form. Use symbolic notation and fractions where needed.

)

The function is continuous on the interval

Determine whether the function f ( x ) = x 2 - 1

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