Problem 1 :
Use the following table to find the average rate of change on the given interval.
1. [3, 13]
2. 0 ≤ x ≤ 12
3. [3, 4]
Problem 2 :
The function h(x) is given in the table below. Which of the following choices shows the average rate of change of the function over the interval 2 ≤ x ≤ 6?


Problem 3 :
Given the functions g(x), f(x) and h(x) shown below.
The correct list of functions ordered from greatest to least by average rate of change over the interval 0 ≤ x ≤ 3 is
A. f(x), g(x), h(x) B. h(x), g(x), f(x)
C. g(x), f(x), h(x) D. h(x), f(x), g(x)
Problem 4 :
Use the table below to estimate the value of d'(120). Indicate units of measures.
Problem 5 :
Frank is selling lemonade. The function g(t) = (t^{2} + 4)/2 models the number of glasses he sold, g(t), after t hours. What is the average rate of change between hour 2 and hour 6? Show all work.
Problem 6 :
The table shows the average diameter of a person's pupil as a person ages. What is the average rate of change of a person's average pupil diameter from age 30 to 70? Be sure to include units.
1)
1) 3/5 feet/min
2) 7/12 feet/min
3) 11 feet/min
2) 3/2
3) h(x) > f(x) > g(x)
4) 3.3 feet/sec
5) 4 glasses/hour
6) 0.04
For the following exercises, find the average rate of change of each function on the interval specified.
Problem 1 :
f(x) = x^{2} + 2 on [1, 2]
Problem 2 :
f(x) = 4x^{2}  7 on [1, b]
Problem 3 :
g(x) = 2x^{2}  9 on [4, b]
For each problem, find the average rate of change of the function over the given interval. You may use the provided graph to sketch the function.
Problem 4 :
f(x) = x^{2}  2x + 1; [0, 1/3]
Problem 5 :
Problem 6 :
Problem 7 :
f(x) = x^{2 }+ 1; [1, 3/4]
1) average rate of change = 1
2) average rate of change = 4(b + 1)
3) average rate of change = 2(b + 4)
4) Average rate of change = 5/3
5) Average rate of change = 2/9
6) Average rate of change = 1/34
7) Average rate of change = 7/4
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM