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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Find the domain and range of the given function algebraically. f(x) = 6 + 2√x - 5 o D: [5,00) OD: [-5,00) OD: (5,00) OD: [5,00) R: [5,00) R: [6,00) R: (6,00) R: [6,00) نے 7

Identify where the function f(x) = x³ – 4x? + 8x + 1 is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: f is concave down on: Use the graphing utility to graph f. f(x) = 20 y + 10 -20 -10 10 20 -10 powered by Sousep -20