Finding Absolute Extrema: Practice Problems & Overview


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question 1 of 3

Find the absolute maximum of the function f(x) = x^4 - 2x^2 on [-1, 1].

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1. Find the absolute minimum of the function f(x) = x*ln(x) on [1, e].

2. Find the absolute minimum(s) of the function f(x) = sin(x) on [0, π].

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About This Quiz & Worksheet

This quiz will allow you to demonstrate your ability to find the absolute extrema of functions. Some questions may involve more than one possible value for the extrema.

Quiz & Worksheet Goals

You will need to find the solution to problems involving the absolute:

  • Minimum of a function
  • Maximum of a function
  • Extrema at multiple values

Skills Practiced

Over the course of this quiz, you will also practice:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on finding absolute extrema
  • Problem solving - use acquired knowledge to solve absolute extrema practice problems
  • Knowledge application - use your knowledge to answer questions about minimum(s) and maximum(s) of functions

Additional Learning

Refine your ability to find the absolute extrema of functions by studying the lesson associated with this quiz, titled Finding Absolute Extrema: Practice Problems & Overview. In this lesson you'll learn about:

  • An example of absolute extrema in the real world
  • Three steps for finding absolute extrema
  • Critical points