Question

The table of values represents a quadratic function.

What is the average rate of change for f(x) from x=−10 to x = 0?
x ​f(x)​

​−10​ 184

​−5​ 39

0 ​−6​

5 49

10 204

Answer 1

The average rate of change of the quadratic function, within the interval of x = 0 to x = 10 is: 21.

How to Find the Average Rate of Change?

The average rate of change within an interval, if calculated using the formula, change in y/change in x = $\frac{f(b) - f(a)}{b - a}$.

b = 10, f(b) = 204

a = 0, f(a) = -6

Average rate of change = (204 - (-6)) / (10 - 0)

Average rate of change = 210 / 10

Average rate of change = 21

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