Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.
tiles
f(x) = x2 + 3x
interval: [-2, 3]f(x) = 3x - 8
interval: [4, 5]f(x) = x2 - 2x
interval: [-3, 4]
f(x) = x2 - 5
interval: [-1, 1]
sequence
>
>
>

we know that

The Average Rate of Change is the slope of a line or a curve on a given range. It is defined as the ratio of the difference in the function f(x) as it changes from 'a' to 'b' to the difference between 'a' and 'b'.

So

case a)

in the interval

Find the Average Rate of Change

case b)

in the interval

Find the Average Rate of Change

case c)

in the interval

Find the Average Rate of Change

case d)

in the interval

Find the Average Rate of Change

Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval

so

the answer is

1) ------->

2) ----->

3) ----->

4) ----->

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

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