I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.

The average rate of change obtained from the ratio of the change in y to the change in x is 39.

The average rate of change can be obtained using the relation :

Rate of change = (y2 - y1) ÷ (x2 - x1)

At ; x1 = 1

y1 can be calculated from the function ;

y1 = 3(1³) + 1 = 3(1) + 1 = 4

At ; x2 = 3

y1 can be calculated from the function ;

y2 = 3(3³) + 1 = 3(27) + 1 = 82

Rate of change can be calculated thus :

Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39

Therefore, the average rate of change is 39.

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39

Step-by-step explanation:

i know the answer is 3

step-by-step explanation:

(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic