I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of f. (Separate multiple answers by commas.) c) Determine the intervals on which f is increasing and decreasing. Your answer should either be a single interval, such as "(0,1)", a comma separated list of intervals, such as "(-inf, 2), (3,4)", or the word "none". ✓ is increasing on: f is decreasing on: d) Use the First Derivative Test to determine whether each critical point is a relative maximum, minimum, or neither. Relative maxima occur at z = (Separate multiple answers by commas.) Relative minima occur at z (Separate multiple answers by commas.)

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