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What is the correct order of the functions from least to greasiest according to the average rate of change on the interval from x-1 to x =3

Sagot :

Answer:
g(x) , f(x) , h(x)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
As we all know, the average of change can be determined by the following formula:

As can be seen in the attached photo, The function f(x) is given by:

x = -1 we have:
= 2
x = 3 we have:
= 34
Hence,the average rate of change of f(x) is:

As can be seen in the attached photo, The function g(x) is a straight line that passes through: (-1,-2) and (3,0)
<=> when x = -1 y = -2 and when x = 3 y = 0
=> the average rate of change of g(x) is:

Based on the table of values of h(x) we have:
h(-1)= 14
h(3)= 62
=> the average rate of change of h(x) is:

Therefore, the correct order of the functions from least to greatest according to the average rate of change is: g(x) , f(x) , h(x)
Hope it will find you well.
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