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Critical numbers are when the equation is zero or undefined
(a) This quadratic factors for (x-5)(x+3), so the critical numbers are -3 and 5
(b) The function is zero when the numerator is zero at x = 5 and it is undefined when the denominator is zero at x=0 or x=-3, so the critical numbers are -3, 0, 5
(3) The answer to this question is "all"
Since it is the first interval AND the second, we want to ...
Detailed Solutions with graphs and images in a Word Doc. Topics covered include critical numbers, intervals on the number line including compound intervals, solution set intervals, and graphs of quadratic functions.