Consider f(x)=2|x| What is the rate of change over the interval 0≤x≤4?

How is the rate of change over this interval related to the form of the function?

Please check the explanation.

Step-by-step explanation:

As we know that the average rate of change of f(x) in the closed

interval [a, b] is

Given the interval [a, b] = [0, 4]

as

      ∵  

      ∵  

so the average rate of change  :

We know that a rate of change basically indicates how an output quantity changes relative to the change in the input quantity. Here, it is clear the value of y increase with the increase of input.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

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