Average rate of change — Algebra I · Grade 9 or accelerated Grade 8, what it means and where it is taught
f(b) - f(a)b - a over an interval.
Taught in Algebra I · Grade 9 or accelerated Grade 8.
Where it is taught
Practise this idea
5 questions in the course bank use Average rate of change, in Writing & Transforming Linear Functions, Rates of Change & the Derivative.
Problem 1
For f(x) = x2, find the average rate of change from x = 2 to x = 5.
Worked answer
7
f(5) = 25, f(2) = 4
213 = 7
Problem 2
For f(x) = 2x2 - 1, find the average rate of change from x = 1 to x = 4.
Worked answer
10
f(1) = 1, f(4) = 31
303 = 10
Problem 3
A function has f(3) = 12 and f(11) = -4. Find the average rate of change.
Worked answer
-2
-4 - 1211 - 3
= -168 = -2
Problem 4
For f(x)=x2, find the average rate of change from x=1 to x=4.
Worked answer
5
16-14-1 = 5
Problem 5
For f(x)=3x+2, find the average rate of change from x=0 to x=5.
Worked answer
3
17-25 = 3