19 10 11 (f) State the interval(s) on which the function is decreasing. That is, for what x-values is the function decreasing? I 7. Let y = 8 2x2 (a) Create a table of sample points on the graph of the equation (include at least six points). The points should include the x-intercept(s) and the y-intercept(s) of the graph. y ( x , y ) (b) Graph the equation. The graph should include the sample points. (You may use the grid shown below, hand-draw and scan, or you may use the free Desmos graphing calculator described under Cou12 13 15 8 10 12 (b) Graph the equation. The graph should include the sample points. (You may use the grid shown below, hand-draw and scan, or you may use the free Resmos graphing calculator described under Course Rest (c) Is the graph symmetric with respect to the y-axis? (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1 2 homework in the textbook. (d) Is the graph symmetric with respect to the origin? (yes or no). If no, state a point on the graph and state the appropriate reflection point which fails to be on the graph, as done in section 1 2 homework in the textbook. 8. Let f (x) = 5x - 2x + 8 and g(x) = 1 - 3x. a) Evaluate the function f for x = a + 3. That is, find f(a + 3) and simplify. Show work. (b) Evaluate the product function fg for x = -1. That is, find (fg)( -1). Show work. 20 888 F2 F3 F 4 3 43 10 11 (c) Find the difference function (f - g)(x) and simplify the results. Show work. 12 13 I 9. See textbook page 82 for a summary of the economic functions (price-demand p. revenue R, cost C. average cost , and profit P ) used in this problem. The cost, in dollars, for a company to produce x widgets is give p(x) = 28 0.02x for 0 x 1400. (a) Find and interpret C(800). (b) Find and interpret (800). (Note that (x) is the average cost function.) (c) Find and simplify the expression for the revenue function R(x). (d) Find and simplify the expression for the profit function P(x). (e) Find and interpret P(800), where P(x) is the profit function in part (d). 10. A graph of y = f (x) follows. No formula for fis given. 10. Which graph (A, B, C, or D) represents the graph of y = f (x + 1) 1? EXPLAIN YOUR CHOICE. (Grid supplied for scratch work; You are NOT required to submit your own graph) y = / (x) NANANGAN