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Find (without using a calculator) the absolute extreme values of the function on the given interval. f(x) = x3 – 9×2 + 15x + 4 on (-1,2] absolute min absolute max Need Help? Read Watch Talk to a Tutor 2. -/10 POINTS BERRAPCALC73.3.011. Find (without using a calculator) the absolute extreme values of the function on the given interval. f(x) = 9×2 – x3 on O, 8] absolute min absolute max Need Help? Read It Watch It Talk to a Tutor

At first we find out all possible critical points of the given

function on the given interval. Then we find out absolute maximum

and absolute minimum of the given function on the given interval by

using critical points and end points of the given interval.

so the (un) annat Given function f(n) = 23-94’1154+4 on [1, 2] film) o (m3-91+ 150+4) arom (ny) – pasta () + 15 (Wtest (4) = 3nr-9 (22) + 15 (1) to using = 3nr 18ntis ona ()0 = 3(*v- 61+5) For critical points we get f(n)=0. 7361-6n+5) 20 9 XV-69+5 20 a n-in-uts 20 * n(n-5)-1(4-5) = a R-5) (n-1) zo 1 (n=5) -0 or (x-1) 20 – ax=5 or x=1 Two critical points are x=1 and nas. But x=5 does not lies on [-1,2]. Therefore only critical points of feres on [1, 2] is nal ave

when not (Left end point) . Then ty)=(-1)3-9(-1)+15(-1)+4 2-1-9 -15 +4 3-21 ty) =-2) When k = 1 (Critical point ) Then fci) = 13-91111 +15(1+4 31-9 +15+4 = fru = 11 when se=2 (Right and point) f(3) = 25-9 (27) +15(2) +4 = 8 – 36 + 30 + 4 = 42-36 * 8 a f(2)=6 Therefore, absolute min [21] S absolute man ” Giren function f(x) = 96%-n3 on [0,8] f'(X) = ( 911–23) 39.() – 5 (4°) cum) -nunti 39 (2n) – 34 2 34(6-x) using < [0,8] For critical point we get f'(x)=0 tan (6-4) 20 auzo or 6-12 an26 The critical points are x20 and 126 on when xoo (heft and point also critical point) Then flojz 9(0)7-(0)3 When n=6 (critical point) Then f(6) 2 g (6%-63 2 6²/9-6) = 36 ( 3) 2 108 When nag (Right and point) Then f(8) = g(8)-83 . 764 (1) =64 Therefore, absolute min – absolute mare a [108] man

### What our team says

# Absolute min and max calculator

Do you often need to calculate min or max values? This calculator can help. Simply input the values you want to calculate, and the calculator will return the corresponding min or max value.

## What is an absolute min and max calculator?

An absolute min and max calculator is a device that can be used to calculate the smallest and largest values within a certain range. This can be helpful in various scenarios, such as when pricing items or checking for inconsistencies.

## How to use an absolute min and max calculator

If you’re looking for a calculator that can help you find the absolute min and max values for a given set of data, then you should definitely check out an absolute min and max calculator.

There are a few different types of absolute min and max calculators available, so it’s important to find one that’s right for your needs.

One type of absolute min and max calculator uses fixed-point arithmetic, which means that it can handle a wider range of data values.

This is good if you want to be able to calculate the maximum or minimum values for a variety of different data sets.

Another type of absolute min and max calculator uses floating-point arithmetic, which is better if you need to work with very small or very large data values.

Either type of absolute min and max calculator will give you accurate results, so it’s worth investing in one if you’re frequently needing to find the maximum or minimum value for a set of data.

## What are the benefits of using an absolute min and max calculator?

There are a number of reasons why you might want to use an absolute min and max calculator.

First, an absolute min and max calculator can be very useful when you are trying to figure out the smallest or largest possible value for a given data set.

Second, an absolute min and max calculator can be helpful when you are looking to find the middle value between two other values.

And finally, an absolute min and max calculator can be helpful when you are trying to determine the maximum or minimum value that can possibly exist for a given data set.