# This table shows values that represent a quadratic function. х y 0 -1 1 SON | N|مي | | -10

Question

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

in progress 0
1 year 2021-09-05T15:38:20+00:00 1 Answers 21 views 0

$$Rate = -10$$

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:

$$Rate = \frac{-37 –17}{2}$$

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

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

$$Rate = -10$$