Absolute Extrema

Absolute Extrema

Learning Objectives:

Understand and apply Absolute Extrema

Absolute Extrema

Absolute Minimum and Absolute Maximum:

Suppose that f is a function with domain I.

f(c) is an Absolute Minimum if f(c) ≤ f(x) for all x in I.

f(c) is an Absolute Maximum if f(c) ≥ f(x) for all x in I.

Guidelines for finding Absolute Extrema on a Closed Interval:

Suppose that f is a continuous function defined over a closed interval.

1.    Find the critical numbers of f in (a, b).

2.    Evaluate f at each critical number in (a, b).

3.    Evaluate f at each endpoint of [a, b].

4.    The least of these values is the minimum or Absolute Minimum. The greatest is the maximum or Absolute Maximum.

 

 

 

 

 

Hook questions:

1.     How can we define Absolute Minimum and Absolute Maximum of a function?

2.     State the guidelines for finding Absolute Extrema on a closed interval.

 

 

 

 

 

Learn Absolute Extrema Online One on One

Struggling with Absolute Extrema? Need help for homework? You are not the only one. Fortunately our experts in Absolute Extrema are online now and are ready to help.

 

MORE TOPIC RECOMMENDATIONS FOR YOU