Question

A table of values, rounded to the nearest hundredth, for the function

Answer 1

Answer:

Omggg twins I'm doing the Iready too:> Anyway I had that question and I selected 1.62

Answer 2

The average rate of change of function $y= \sqrt[3\\]{x}$ over interval [2,7] to rounding to nearest hundredth is 0.13

The Correct option is (b)

What average function?

The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.

i.e.,  $\frac{f(b)- f(a)}{b-a}$

It  has been asked in the question the average rate of function over interval [2,7].

The values are given in the table.

So, the rate of change of f(x) on interval [a, b] = $\frac{f(b)- f(a)}{b-a}$

we have, a=2 and b=7

Thus, $\frac{f(b)- f(a)}{b-a}$ =  $\frac{\sqrt[3]{7} -\sqrt[3]{2} }{7-2} {$

                       =$-\frac{\sqrt[3]{2} }{5}+\frac{\sqrt[3]{7} }{5}$

                       =0.1306

                       ≈ 0.13 (rounding off nearest hundredth)

Learn more about average  rate of change of function here:

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