what is the average rate of change from x=1 to x=3

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.

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ernikhil ernikhil · Answer 2 · 2021-10-19T07:05:49+02:00

The average rate of change from [tex]x=1[/tex] to [tex]x=3[/tex] is [tex]2[/tex].

The average rate of change of a curve is termed as Slope of the curve between any two points.

Here, at [tex]x=1[/tex] the value of [tex]y=-3[/tex] and at [tex]x=3[/tex] the value of [tex]y=1[/tex].

Now, use the general formula to evaluate the slope of the curve between two points as-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{1-(-3)}{3-1}\\m=2[/tex]

Hence, the average rate of change from [tex]x=1[/tex] to [tex]x=3[/tex] is [tex]2[/tex].

Learn more about slope here:

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