Mathematics: This table shows values that represent a quadratic function. х y 0 -1 1 SON | N|مي | | -10 4 -17 -26 6 -37 What is the average rate of change for this quadratic function for the interval from x= 4 to x= 6? A. 10 B. -10 C. 20 D. -20

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This table shows values that represent a quadratic

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18.07.2021

Rate = -10

Step-by-step explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

$Rate = \frac{f(6) - f(4)}{6-4}$

$Rate = \frac{f(6) - f(4)}{2}$

From the table:

f(6) = -37

f(4) = -17

So:

$Rate = \frac{-37 --17}{2}$

$Rate = \frac{-37 +17}{2}$

$Rate = \frac{-20}{2}$

Rate = -10

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