Is the function continuous at x = -17

For a function to be continuous at an x-value, say -17, you need to make sure two things line up:

The limit from the left equals the limit from the right.

This limit equals the functions value.

The left hand limit involves the first piece, f(x) = 20x + 1:

The right hand limit invovles the second piece, f(x) = -10x^2:

Since the two one-sided limits don't match, the function is not continuous at x=-17.

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step-by-step explanation:

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