Question

A function f(x) is given as f(x) = 5. Find the average rate of change of f(x) in the interval [1000, 1025]

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Answer 1

The average rate of change of a function f(x) with respect to x over an interval [a, a+h] is defined as $\frac{f(a+h)-f\left(a\right)}{h}$. Here, if you look at the function, you can see that it is a constant function, meaning its value does not change with respect to x. So, the change in f(x) in the given interval will be zero(5-5). So, the average rate of change will also be zero.