Global Extrema of a Function: Finding the Maximum and Minimum Values

[oswald88]

Homework Statement

Find max and min value of the function

Homework Equations

attached.

The Attempt at a Solution

no graph, because roots aren't real numbers.

 

[gabbagabbahey]

As you've found, there are no real values of $x$ where $f'(x)=0$...what does that tell you about the existence of local maxima/minima? Are there other types of extrema? Where might they occur?

 

[oswald88]

no idea! need imaginary graph? maybe there isn't any max or min.. so the exercices question is meanless.

 

[gabbagabbahey]

You need to read the section n your textbook on global extrema.