m8

PRETEST A. Identify if the equation f(x) = x5 - 2x+ + x3 -3x2 - x +5 has a solution on each given closed interval. Show your proof using the intermediate value theorem. 1. [-2, -1] 2. [-1, 0] 3. [0, 1] 4. [1, 2] 5. [2, 4] B. Sketch the graph of f(x) =4 -x and then find the absolute extreme values of the interval [-3, 1].ACTIVITIES A. Tell whether each given function has a solution on the indicated closed interval. Prove using the IVT. 1. f(x) = 5x2 - x - 1; [1, 2] 2. f(x) = -3 x+5 [-2, 4]E. Sketch the graph of the following functions and then nd the ahenlute extreme values of each of the given interval. 1. x) = 3 Ex; [-4, 0] 2. fix) - [-3, 1] _ HE G. Let fix) = 2x + 1. Determine if the WT applies to f on the closed interval [-3, 4] for l: = 1. 9 POSTTEST A. Tell whether each given function has a solution on the indicated closed interval. Prove using the WT. 1. x) = 3:2 + 2x2; [-1, 1] 2. as = [-3, -1] 1 x2 13. Sketch the graph of the following functions and then nd the absolute extreme Values of each of the given interval. 1. x) = {x2 25; [5,10] 2. for) = rig; [0.5, 2] C. A restaurant's prot function [in hundreds] for hamburgers is given by the function P such that He) = 1.22:: 3:0\" 4.000, where D e: x 5 21mm}. 1. Howr manyr hamburgers does the restaurant need to sell to yield the maximum prot? 2. What is the mardmum prot from the sale of hamburger