Question

Consider this function. f(x)=6log2x-3 over which interval is function f increasing at the greatest rate?

Answer 1

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

What is  maxima and minima?

A function's maxima and minima are its highest and lowest values, respectively, either on the entire domain or inside a certain range. They are referred to as the function's extrema collectively. The plural forms of maximum and minimum for a function are respectively known as maxima and minima.

Why do we use maxima and minima?

The extreme values of a function—their maximum and minimum values—are referred to by the words maxima and minima. Maximum refers to the maximum value or amount that is feasible. A function's biggest value within its range is known as its absolute maximum.

According to the given information we have:

f(x)=6log2x-3

For the interval x ∈[2, 6]

f(x) ∈ [-0.678, 3]

For the interval x ∈ [1/8, 1/2]

f(x) ∈ [ -9.96, -5.32]

For the interval x ∈ [1, 2]

f(x) ∈ [-3, -0.67]

For the interval x∈ [1/2, 1]

f(x) ∈ [-5.32, -3]

The function increased at the highest rate in the interval [1/8, 1/2], as can be seen from the function value and its interval values.

To know more about  interval values visit:

brainly.com/question/14264237

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