Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.

ANSWER

EXPLANATION

The average rate of change of a function, f(x) on the interval x=a,to x=b is the slope of the secant line joining

The given function is

When x= 4,

When

The average rate of change between x = 4 and x = 6 for the given function is:

The average rate of change is: 152

The cubic function f(x) is given by:

Now, we know that the average rate of change of a given function f(x) from x=a to x=b is given by:

Here we have:

Hence,

i.e.

so, the average rate of the given function is given by:

and

so, we have:

i.e.

i.e.

21/58.

hope to be marked brainliest

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl