contestada

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

Respuesta :

MrRoyal

Answer:

[tex]Rate = -10[/tex]

Step-by-step explanation:

Given

The table

Required

The average rate if change over (4,6)

This is calculated as:

[tex]Rate = \frac{f(6) - f(4)}{6-4}[/tex]

[tex]Rate = \frac{f(6) - f(4)}{2}[/tex]

From the table:

[tex]f(6) = -37[/tex]

[tex]f(4) = -17[/tex]

So:

[tex]Rate = \frac{-37 --17}{2}[/tex]

[tex]Rate = \frac{-37 +17}{2}[/tex]

[tex]Rate = \frac{-20}{2}[/tex]

[tex]Rate = -10[/tex]