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

Answers

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’smaxima 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 extremevalues 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.

functionincreased at the highest rate in theinterval [1/8, 1/2], as can be seen from the function value and itsinterval values.## What is maxima and minima?

function’smaximaandminimaare its highest and lowest values, respectively, either on the entiredomainor inside acertain 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?

extremevaluesof 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 itsabsolute maximum.## According to the given information we have:

functionincreased at the highest rate in theinterval [1/8, 1/2], as can be seen from the function value and itsinterval values.interval valuesvisit:#SPJ4