The graph gives the number of farms in the United States from 1850 to 2000. 7000 6000 5000 4000 3000 2000 1000 1860 1900 1940 1980 (a) Estimate the average rate of change in the number of farms between 1870 and 1910 and between 1960 and 1970. (Round your answers to the nearest whole number). 1870 and 1910 farms per year 1960 and 1970 farms per year (b) In which decade did the number of farms experience the greatest average rate of decline? 1870 - 1880 1910 - 1920 1940 - 1950 1950 - 1960 1960 - 1970 11. [-/3 Points] DETAILS OSPRECALC1 1.7.471.ALT. MY NOTES ASK YOUR TEACHER Consider the graph of the one-to-one function shown in the figure below. 101 - X 2 8 10 Sketch the graph of f-1. 10 10 5 Ch - X 10 -5 10 -10 5 10 O 10 O 10 10 - X -10 10 10 10 O 104. [-/1 Points] DETAILS OSPRECALC1 1.3.199. MY NOTES ASK YOUR TEACHER Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t) = 2.6667t2, where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average speed of the object from t = 1 to t = 5. (Round your answer to the nearest whole number.) ft/s Additional Materials eBook 5. [1/2 Points] DETAILS PREVIOUS ANSWERS OSPRECALC1 1.7.472. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the graph of the one-to-one function shown in the figure below. 101 8 4 10 Find f(5) 2 Find f-1(2). X Recall function notation and the effect the inverse of a function has on the function's input and output. How can the graph of a function be used to find inputs and outputs of the function's inverse? What interchange is made with inverse functions?8. [-/3 Points] DETAILS OSPRECALC1 1.7.908.WA.TUT. MY NOTES ASK YOUR TEACHER en the graph of f(x) shown, answer the following. f(x) 15 10 5 -2 -5 10 -15 (a) What is f-1(-1)? (b) Solve the equation f(x) = -10. What is f-1(-10)? (c) Sketch the graph of the inverse function. f(x) f(x) 15 15 10 10 5 5 -4 -2 -4 2 -5 -5 10 10 O 15 O 15 f(x) f(x) 4 2 -15 -10 -5 X 5 10 15 -15 -10 -5 5 10 15 -2 O OA graph of a function f is given. X 0 Does / have an inverse? Yes O No If so, find the following. (If an answer does not exist, enter DNE.) F-1(2) = X F-1(7) = XThe graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between x = 0 and x = 300? (Assume that the points lie on the grid lines.) W (ft) 250 225 200 175 150 125 100 75 50 25 + x (days) 50 100 150 200 250 300 350 400 ---Select-- Interpret the average rate of change in the context of the question. O The water depth is changing by this amount in feet each day. The water depth increased and decreased the same amount during that time span. It takes this many days for the water depth to change by one foot. The date did not change while the depth of water did change. The water depth did not change during that time span. 2. [-/1 Points] DETAILS STITZPRECALC1 2.1.016A. MY NOTES ASK YOUR TEACHER Compute the average rate of change of the given function over the specified interval. f (x) = x3, [7, 8]mathPads Solve for x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If all Operations solutions, enter REALS.) Functions 18x - 71 - 4 = -4 X Symbols X = X Relations VO Sets Remember that an absolute value equation may have two solutions. Rewrite the absolute value equation as t equations, and solve each one separately. What step must be done first? Trig Greek Submit Answer Q Help 14. [-/1 Points] DETAILS WEBASSIGNIIALG2 8.1.007D. MY NOTES ASK YOUR TEACHER Solve for x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 12x - 61 - 13 = -8 X = 15. [-/1 Points] DETAILS WEBASSIGNPRA1 8.1.002. MY NOTES ASK YOUR TEACHER Solve for x. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 12x + 3| + 9 = 5 X =