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?

Answer 1

-19

Explanation:

The average rate of change over the interval from x1 to x2 is ...

(f(x2) -f(x1))/(x2 -x1)

For x1 = -10 and x2 = 0, this is ...

(f(0) -f(-10))/(0 -(-10)) = (-6 -184)/10 = -19

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Please be aware that some versions of this question ask for the average rate of change over the interval 0 to 10. That is a different interval and that rate of change is different.