FINDING AVERAGE RATE OF CHANGE FROM A GRAPH WORKSHEET

Use the following graph to find the average rate of change of the given interval.

Problem 1 :

Find the average rate of change in the interval

-5 ≤ x ≤ -2

Solution

Problem 2 :

Find the average rate of change in the interval

[-1, 5]

Solution

Problem 3 :

Find the average rate of change in the interval

-4 ≤ x ≤ -2

Solution

Problem 4 :

Regarding the graph at the right, what is the average rate of change over the interval -1 < x < 5 ?

Solution

Problem 5 :

Find the average rate of change between x = 0 and x = 4

Solution

The graphs of f and g are given below, for each function find the average rate of change of the given interval.

Problem 1 :

h(x) = f(x) + g(x) on [-4, 3]

Solution

Problem 2 :

k(x) = f(g(x)) on [-4, 0]

Solution

Problem 3 :

w(x) = g(f(x)) on [-2, 3]

Solution

Problem 4 :

The 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 = 100 and x = 200?

Solution