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Pre-Calculus Find the domain of the indicated function. Write your answers using inequality notation. Classify all discontinuities. X 2 . 3 . . f ( x ) = - g(x) = V16 - 4x x 2 - 9x h (t ) = Vt + 3 t - 5 Domain: Absolute max/min value(s): 4. g(x) = (V16 -x2) |x-31 Local extrema that are NOT absolute: Increasing: Decreasing: Left End-behavior: Right End-behavior: lim f (x) = lim f (x) = X - - 00 * -00 ' Find the value of the given function at the indicated domain value. -2x2 +7x +5, x 50 5x2 - 7x - 5, x5-10 g (x ) = 3- x3, 2 10 5. g(8) = 6. h(-1) = 7. h(10) = 8. g(1) = Skillz Reviews: Solve or evaluate. 9. V-95 10. 3x2 = 24 11. -(x - 4)2 -5 = -54 12. 3(x + 6)2 +20 = -28Graph the following piecewise functions. Given the graph of f, write out the function's equation. Use a linear expression (mx + b) for straight lines, absolute value if there is a \"V" graph. 2(x+3)24, x1 13. h(x) = { fCX) = J? x 15. Is the following function continuous? (SHOW WORK!) 16. What value(s) ofkwould make the function x2 + 2x + 11, x 1 17. Mr. Kelly wants to create a rectangular feeding 18. Rewrite the function f(x) = _3 [X _ 12' _ 7 as 4 pen for his chickens, but only has 80 meters of fencing. He decides to use the side of his house as one side of the pen. a. lfx represents the width of the pen, express its area A in terms ofx. (The side of Kelly's house is the length.) a piecewise function. b. What is the domain of the function A (determined by the physical restrictions)? 19. A rectangle has its base on the xaxis and its two upper corners on the parabola y = 20 x2. 3. Draw this scenario on the coordinate plane to the right, and draw one possible rectangle. b. Label the base and height of your rectangle in terms of x. c. Find the function A(x) that represents the area of the rectangle. d. What is the largest possible area of this rectangle? e. At what x-value should the rectangle be drawn for the largest area