Local and Absolute Extrema
Topic Page
Local and Absolute Extrema
Questions

What are extrema?

What is a sample extrema problem?

What are local extrema?

What are absolute extrema?

How do I find the extrema of a function?

What is a saddle point?

How do I find the absolute maximum and minimum of a function?

How are critical points related to local and absolute extrema?

Over the xvalue interval #[10, 10]#, what are the local extrema of #f(x) = x^3#?

Over the xvalue interval #[−10,10]#, what are the local extrema of #f(x)=x^2#?

Over the xvalue interval #[−10,10]#, what are the absolute extrema of #f(x)=x^2#?

How do you determine the interval(s) over which #f(x)# is increasing, decreasing, constant, concave up, concave down? What are the zeroes of #f(x)#? For what values of #f(x)# discontinuous?

How do I find the stretches of a transformed function?