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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
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Mathematics
1 year
2021-09-05T15:38:20+00:00
2021-09-05T15:38:20+00:00 1 Answers
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Answers ( )
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]