Properties of Functions Q11,12,13,14,15. Please read the instructions in blue. Just need answers, Thank you!

11. Let f(x) = 8x 5. (a) Find the average rate of change from 4 to 6. (b) Find an equation of the secant line containing (4, f(4)) and (6. f(6)). (a) The average rate of change from 4 to 6 is |:|. (Simplify your answer.) (b) An equation of the secant line containing (4, f(4)) and (6, ms is |:| (Type your answer in slope-intercept form.) 12. The average cost per hour in dollars of producing x riding lawn mowers is given by the following. 2400 x 600 = 0.8)(2 + 27x 243 + (a) Use a graphing utility to determine the number of riding lawn mowers to produce in order to minimize average cost. (b) What is the minimum average cost? (a) The average cost is minimized when approximately |:| lawn mowers are produced per hour. (Round to the nearest whole number as needed.) (b) The minimum average cost is approximately 5: per mower. (Round to the nearest cent as needed.) 13. Do the following for the function g(x) = 2x + 2. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1, and 0.01 at x =1. What value does m (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph g and the secant line found in part (c) on the same viewing window. sec approach as h approaches 0? (a) Type the slope of the secant line in terms of x and h. msec = |:| (Simplify your answer.) (b) For h = 0.5 at x =1. what is the value of msec? msec = |:| (Round to two decimal places as needed.) For h = 0.1 at x= 1. what is the value of msec? msec = |:| (Round to two decimal places as needed.) For h = 0.01 at x= 1, what is the value of msec? msec = |:| (Round to two decimal places as needed.) What value does mm approach as h approaches 0? msec = |:| (Type an integer or a decimal.) (c) Find the equation for the secant line at x = 1 with h = 0.01. v = E (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of g and the secant line? 0 A. O B. O C. 20 El 20 El 20 El 5E:L 5E:L 5E:L _5 3' _5 3' _5 3' 14. Do the following for the function f(x) = 10x2 + 7x. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1, and 0.01 at x = 1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. msec (Simplify your answer. Do not factor.) (b) For h = 0.5 at x = 1, msec = (Round to two decimal places as needed.) For h = 0.1 at x = 1, msec = (Round to two decimal places as needed.) For h = 0.01 at x = 1, msec= 'Round to two decimal places as needed.) As h approaches 0, msec approaches (Type an integer or a decimal.) (c) The equation for the secant line at x = 1 with h = 0.01 is y = (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? O A. O B. O c. 20 20 20 5 - 5 -5 - 5 -5 - 5 -515- Do the following for the function f(x) = 7x2 - 4x + 8. (a) Express the slope of the secant line in terms of x and h. (b) Find msec for h = 0.5, 0.1, and 0.01 at x =1. What value does msec approach as h approaches 0? (c) Find the equation for the secant line at x = 1 with h = 0.01. (d) Graph f and the secant line found in part (c) on the same viewing window. (a) Type the slope of the secant line in terms of x and h. msec = |:| (Simplify your answer. Do not factor.) (b) For h =0.5 atx=1, msec = |:| {Round to two decimal places as needed.) Forh=0.1atx=1,msec=|:|. (Round to two decimal places as needed.) Forh=0.01atx=1,msec= |:| {Round to two decimal places as needed.) As h approaches 0, mm approaches |:|. (Type an integer or a decimal.) (c) The equation for the secant line at x= 1 with h = 0.01 is y = |:|. (Type the expression in slope-intercept form. Round coefficients to two decimal places as needed.) (d) Which of the following is the graph of f and the secant line? OA. OB. 0c. M Cl m a E 5 5 ET -5 ET -5 -5 -5 -5 2|] 9.13 -5 9.13