Let
x-------> the time in minutes
y-------> the temperature in Fahrenheit degrees
we know that
<u>the change in the y-values between two points is equal to</u>
Substitute the y-values of the point A and B in the formula
<u>the change in the x-values between two points is equal to</u>
Substitute the x-values of the point A and B in the formula
therefore
<u>the answer is</u>
The change in the y-value is and the change in the x-value is
The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
<h3>How to order the functions?</h3>The rate of change is calculated using:
For function g at the interval [2,3], we have:
This gives
For function h at the interval [0,2], we have:
Where:
h(2) = 3(3)^2 - 9 = 18
h(0) = 3(3)^0 - 9 = -6
This gives
For function f at the interval [1,2], we have:
This gives
Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]
Read more about average rates of change at:
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