1. The table shows values of a function f(x). What is the average rate of change of f(x) over the interval from x = 5 to x = 9? Show your work. X 4 f(x) LO 5 6 7 8 9 10 -2 8 10 11 14 18

Can the average rate of change of a function be constant?

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.

Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it continues on its course indefinitely. Let D(t) denote its distance from Earth after t years of travel. Do you expect that D has a limiting value?

Find the average rate of change of f(x)=x2+2x8 on the interval [5,a] in simplest forms in terms ofa.

Let f be defined as follows. y = f(x) = x² - 5x (a) Find the average rate of change of y with respect to x in the following intervals. from x = 4 to x = 5 from x = 4 to x = 4.5 from x = 4 to x = 4.1 (b) Find the (instantaneous) rate of change of y at x = 4. Need Help? Read It Master It

The graph shows the function f(x). What is the average rate of change for the function f(x) over the interval [0,3]? Enter your answer as a number, like this: 42

The function J is defined on the interval -50 and (C)=0. The graph of , which consists of three line segments -1 1- and a quarter of a circle with center (-),0)and radius 2, is shown in the figure to the right. -2- Graph of f Find the average rate of change of J over the interval [-5,0]. Show the computations that lead to your answer. g(x)=] f(t)dt Find the x-coordinate of each For-5

Find the average rate of change for the following function. f(x) = 5x -4x +3 between x= 1 and x 2 www The average rate of change for f(x) over the interval - 1 to 2 is (Type an integer or a simplified fraction.)

Consider the functionf(x) whose graph is given below. 15 f(エ) 10 5 10 15 20 25 30 30 (a) Find f(x)dx. eTextbook and Media (b) What is the average value of f on [5, 30]?