Find the Maximum Value of a Function: Practice & Overview


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question 1 of 3

Does this quadratic equation have a maximum value?

13x^2 - 24x - 8

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1. What is the maximum value of this function?

2. A company earns a weekly profit by selling items, according to the equation P = -0.5x^2 + 38x - 200. What is the company's maximum weekly profit?

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About This Quiz & Worksheet

With the quiz and printable worksheet you can test your understanding of how to find the maximum value of a function. Practice problems will test your ability to solve for maximum values in a function.

Quiz & Worksheet Goals

In this assessment you'll be tested on:

  • Maximum values and quadratic equations
  • Solving for the maximum value of a function
  • Using maximum values to determine a company's anticipated profits

Skills Practiced

  • Making connections - use your understanding of the concept of the maximum value of a function and apply it to real world problems
  • Problem solving - use acquired knowledge to solve practice problems that use quadratic equations to find maximum values in a function
  • Interpreting information - verify that you can read and apply information regarding the three methods for solving maximum values in functions
  • Defining key concepts - ensure that you can accurately define main phrases, such as the maximum value of a function

Additional Learning

To learn more about the maximum value of a function, review the accompanying lesson entitled Finding the Maximum Value of a Function: Practice and Overview. This lesson covers the following topics:

  • Defining the maximum value of a function
  • How to find maximum values in a function using graphs
  • Determining if maximum values exist in a function
  • Equations for finding the maximum value of a function
  • Real world examples of maximum value solutions