Consider the function graphed below. What is the average rate of change of the function over the interval [1, 3]?

A. 32
B. 36
C. 42
D. 48

Question

02-06-2021
Mathematics

Answered

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Consider the function graphed below. What is the average rate of change of the function over the interval [1, 3]?

A. 32
B. 36
C. 42
D. 48

Sagot :

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Dshaw9451 Dshaw9451 · Answer 1 · 2021-06-02T19:04:42-04:00

Dshaw9451 Dshaw9451

02-06-2021

The correct answer is B. 36.

Answer Link

keshavgandhi04 keshavgandhi04 · Answer 2 · 2022-08-03T05:20:40-04:00

The average rate of change of the function over the interval [1,3] will be around 45 which is nearest an option to 42 so option (C) will be correct.

What is a graph of a function?

The link between lines and points is described by a graph, which is a diagrammatic representation of a network.

A graph consists of various points and the separation between two of them. Neither the length of the lines nor the placement of the points matters. Each component of a graph has a name, known as a node.

For example to draw the equation y = 2x +9 this will draw a straight line in the coordinate geometry.

The rate of change is given by dy/dx

The average rate of change can be given as (difference in y coordinate)/(difference in x coordinate)

Average rate of change = ( 102 - 12 )/(3 - 1 ) = 45 which is nearest to option (C) hence it will be correct.

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Sagot :

What is a graph of a function?

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