2. Using the given graph of the function f, nd the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? |:| (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is |:|. (Type your answer in interval notation. Round to the nearest integer as needed.) The range is |:|. (Type your answer in interval notation. Round to the nearest integer as needed.) (c) On which interval(s) is the graph increasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is increasing on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is increasing. On which interval(s) is the graph decreasing? Select the correct choice below and ll in any answer boxes within your choice. 0 A. The graph is decreasing on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is decreasing. On which interval(s) is the graph constant? Select the correct choice below and fill in any answer boxes within your choice. 0 A. The graph is constant on |:|. (Type your answer in interval notation. Use a comma to separate answers as needed.) 0 B. There is no interval on which the graph is constant. (d) The function is (1 ) (1) 0 even. 0 odd. 0 neither even nor odd. 3. (a) Select the correct choice below and fill in any answer boxes within your choice. (0.2) O A. The value(s) of x at which f has a local maximum is/are X = (Type an integer. Use a comma to separate answers as needed.) Use the graph to find: O B. There are no values of x at which f has a local maximum. (a) The numbers, if any, at which f has a local maximum. What are Select the correct choice below and fill in any answer boxes within these local maxima? your choice. (b) The numbers, if any, at which f has a local minimum. What are these local minima? O A. The local maxima is/are y = (Type an integer. Use a comma to separate answers as needed.) O B. There are no local maxima. (b) Select the correct choice below and fill in any answer boxes within your choice. O A. The value(s) of x at which f has a local minimum is/are X= (Type an integer. Use a comma to separate answers as needed.) O B. There are no values of x at which f has a local minimum. Select the correct choice below and fill in any answer boxes within your choice. O A. The local minima is/are y = (Type an integer. Use a comma to separate answers as needed.) O B. There are no local minima.4. Using the given graph of the tunction I, nd the following. (a) The numbers, if any, at which f has a local maximum. What are these local maximum values? (b) The numbers, if any, at which f has a local minimum. What are these local minimum values? (a) Find the value(s) of x at which i has a local maximum. Select the correct choice below and. if necessary. till in the answer box to complete your choice. (Type an exact answer, using 1: as needed. Use a comma to separate answers as needed.) 0 B. There is no local maximum value. Find the local maximum. Select the correct choice below and, if necessary. ll in the answer box to complete your choice. 0 A. The local maximum is |:|. (Type an exact answer, using it as needed. Use a comma to separate answers as needed.) 0 B. There is no local maximum. (b) Find the value(s) of x at which I has a local minimum. Select the correct choice below and, if necessary, till in the answer box to complete your choice. (Type an exact answer, using it as needed. Use a comma to separate answers as needed.) 0 B. There is no local minimum value. Find the local minimum. Select the correct choice below and, it necessary. ll in the answer box to complete your choice. 0 A. The local minimum is |:| (Type an exact answer, using it as needed. Use a comma to separate answers as needed.) 0 B. There is no local minimum. For the graph of a function y = f(x) shown to the right, find the absolute maximum and the absolute minimum, if they exist. Identify any local maxima or local minima (2,5) -1, 1) (4,4); -3 (0,0) 7 Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute maximum of y = f(x) is f( (Type integers or simplified fractions.) O B. There is no absolute maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The absolute minimum of y = f(x) is f (Type integers or simplified fractions.) O B. There is no absolute minimum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local maximum of y = f(x) is f( (Type integers or simplified fractions.) O B. The local maxima of y = f(x) are f and f (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local maximum for y = f(x). Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. O A. The local minimum of y = f(x) is f( (Type integers or simplified fractions.) O B. The local minima of y = f(x) are f( and f (Use ascending order with respect to x. Type integers or simplified fractions.) O C. There is no local minimum for y = f(x).9- Find the average rate of change of f(x) = 3x2 + 6 over each of the following intervals. (a) From 4 to 6 (D) From 3 to 5 (c) From 1 to 4 (a) The average rate of change from 4 to 6 is (b) The average rate of change from 3 to 5 is (c) The average rate of change from 1 to 4 is HUD 10. Find the average rate of change of [(x) = x3 - 2x + 9 over the following intervals. (a) From -? to -4 (D) From - 1 to 3 (c) From 3 to T (a)The average rate of change from - 7 to - 4 is |:|. (b) The average rate of change from - 1 to 3 is |:|. (c) The average rate of change from 3 to 7 is |:|. 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, f(6)) 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 690 = 0.8x2 + 27x - 248 + x (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 $|:| 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 (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 msec 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. (Type the expression in slope-intercept form. Round coefcients to two decimal places as needed.) (d) Which of the following is the graph of g and the secant line? 0 A. O s. 2:: Q 20 Q 5E:L sex _5 L" -5 3' approach as h approaches 0? 06. 2|] 14- Do the following for the function f(x) = 10x2 + 7x. (3) Express the slope of the secant line in terms of x and h. (b) Find mm 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 fand 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) Forh=0.5 atx=1, mm= |:| (Round to two decimal places as needed.) Forh=0.1atx=1,msec = |:|. (Round to two decimal places as needed.) For h =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. 20 15- 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.) For h =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. 0 c. 2|] ('51 2|] 5'3. -5 3' -5