Given the functions f(x), g(x), and h(x) shown below; list the functions from greatest to least by average rate of change over the intervall

f(x) > h(x) > g(x)

Step-by-step explanation:

For the average rate of change of a function between x = a and x = b,

Average rate of change =

From the table given,

Average rate of change of function 'f' between x = 1 and x = 3,

Average rate of change =

                                        =

                                        = 4

For the function 'g',

g(x) = 2x² - 18x

Average rate of change =

g(3) = 2(3)²- 18(3)

      = 18 - 54

      = -36

g(1) = 2(1)² - 18(1)

      = 2 - 18

      = -16

Therefore average rate of change =

                                                         = -10

From the graph attached,

Average rate of change of the graph between x = 1 and x = 3,

Average rate of change =

h(3) = 7.5 [Although the graph is not clear]

h(1) = 2

Average rate of change =

                                        = 2.75

Therefore, order of rate of change (from greatest to the least) for the given functions will be,

f(x) > h(x) > g(x)

87%

step-by-step explanation:

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