Average rate of change over an interval
Compute the average rate of change (secant slope) of a quadratic function over an interval. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Find the average rate of change of f(x) from x = 2 to x = 4.
f(x) = x2 - 4x - 4
Answer: 2
See one solved, step by step
Find the average rate of change of f(x) from x = 2 to x = 4.
f(x) = −4x2 - 5x - 5
📘 Worked solution
1f(2) = −4(2)2 + −5(2) + −5 = −31Evaluate the function at the start of the interval.
2f(4) = −4(4)2 + −5(4) + −5 = −89Evaluate the function at the end of the interval.
3(−89 - (−31))/(4 - 2) = −29Average rate of change = rise over run between the two points.
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