2/ 10/24. 7:36 PM The function f(x) = $ 20 x-5 is one-to-one. For the function, Section 27 Homework (Inverse Functions)-said 2/10/24, 7:36 PM a. Find an equation for f (x), the inverse function. group use into the right shows the aver b. Verify that your equation is correct by showing that i (f (x)) = x and f (f(x)) =x se this information to complete parts a and that people sleep per day. by age Section 2.7 Homework (Inverse Functions)-saidi mbeke a. Select the correct choice below and, if necessary. fill in the answer box to complete your choice Simplify your answer. Use integers or fractions for any numbers in the expression.) OA. (x ) = for x s a. Consider a function O B. '(x) = for x * day. Write the function is whose domain is the set of six ages shown. Let the range be the average nu Ace inction as a set of ordered pairs. mber of hours that people sleep per Oc. '(x) = [ . for all x (Use a comma to separate answers as needed.) OD. ( ( x ) = for x z b. Write the relation that is the inverse of f as a set of ordered pairs. Verify that the equation is correct. The relation is Use a comma to separate answers as needed.) 1(5 ' ( x ) ) = and Based on these ordered pairs, is I a one-to-one function and Substitute. Simplify O A. The function f is not a one-to-one function The equation is (1) O B. The function f is a one-to-on O C. The function f is a one-to-one function becau the inverse of f is a function. (1) O not verified. D. The function f is not a one-to-or relation that is the inverse of f is not a function. O verified. use the relation that is the inverse of f is not a function. 8. A study of 900 working women showed that their feelings changed throughout the day As the graph indicates, the women felt better as time passed arch Average Level of The function ((x) = x# 1, is one-to-one. relative maximum) at lunchtime. Answer the following. Berend Times of raph have an inverse that is b Identify two or more times of the day when the average happiness level Find an equation for ? (x). the inverse function. happiness level is 3.5. Express your c Do the ordered pairs in part (D) indicate that the graph represents a one-to-one function? Explain (x) = .X#5 Simplify your answer Use integers or fractions for any numbers in the expression.) 8 12 15 18 21 24 10. Does the graph represent a function that has an inverse? a. Does the graph have an inverse that is a fun O A. Yes, because a vertical line can be drawn that intersects the graphs more than once. B. No, because a horizontal line can be drawn that intersects the graphs more than once. O C. Yes, because no horizontal line can be drawn that intersects the graphs more than once O D. No, because no vertical ntersects the graphs more than once. Choose the correct answer below. b. Identify the times when the average happiness level is 3.5. Select all that apply. Yes No A. 10.00 B. 21.00 D. 20.00 E. 12.00 11. The graph of a function is given. Determine whether the function Express the above answers as ordered pairs. has an inverse function Type integers or decimals. Use a comma to c. Do the ordered pairs in part (b) indic a one-to-one function? O A. Yes, the graph represents a function, the points in the previous step have the san B. Yes, the graph represents a one-to-one function and coordinate but differ O C. No, the graph does not represen ate but differen O D. No, the graph does not represent a one-to-one function; the points in the previous step have the same Does the given function have an inverse function? O No Yes Section 2.7 Homework (Inverse Functions)-saidi mbeke 2/10/24. 7:36 PM ck the Display Options f(x), f (x) and both Show Eq. boxes. Complete parts 1 through 4 below. 19. Select Function B and check Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed Click here to launch the interactive figure.' Part 1: What is the domain of f(x)? (Type your answer in interval notation.) The domain of f(x) is Part 2: What is the range of f(x)? (Type your answer in interval notation.) The range of f(x) is Part 3: What is the domain off (x)? (Type your answer in interval notation.) The domain of f (x) is https://tdx.acs.pearso Part 4: What is the range of f (x)? (Type your answer in interval notation.) The range of f (x) is 1: http://media.pearsoncmg.com/cmg/pmmg_mml_shared/precalc_ifigs_HTML5/IFig1_28Precalc_graphs_of_inverse_functions