In Section A:Length of the section = (1 - 0) = 1f(1) = 5f(0) = 0change in the value of the function = (5 - 0) = 5Rate of change = (change in the value of the function) / (size of the section) = 5/1 = 5 In Section B:Length of the section = (3 - 2) = 1 f(3) = 15f(2) = 10change in the value of the function = (15 - 10) = 5Rate of change = (change in the value of the function) / (size of the section) = 5/1 = 5 Part A:The average rate of change of each section is 5. Part B:The average rate of change of Section B is equal to the average rate of change of Section A.
<span>the slope-intercept form of the function that contains the points (5, 6) and (9, 14) is y - 6 = 2( x - 5 ); Then, y - 6 =2x - 10; y = 2x - 4 ;</span>
J Multiply the first equation by 3 F Add the two equations and solve for x G x = -3 B Substitute the value of x in the first equation, y = 1 C the solution is (-3, 1)