Warm Up 4 7 FORMING FUNCTIONS FROM VERBAL

Warm Up

4. 7 FORMING FUNCTIONS FROM VERBAL DESCRIPTIONS Objectives: 1. Form a function from a verbal description. 2. Determine the maximum and minimum values.

• An important concern of mathematics is finding the minimum or maximum value of a function. This can help you minimize or maximize profits, minimize stress on a girder or maximize the volume of a container made from a given amount of material. • Minimum and maximum vales are often referred to as extreme values. Approximate extreme values of a function can be found using a calculator. Exact extreme values are most often found using calculus. • Whether technology or calculus is used, we always need to write a rule for the function to be minimized or maximized. If the rule depends on two or more variables, then we also need to find a relationship among the variables so the function can be written in terms of only one variable. Developing these skills is the goal of today’s lesson.

Express the area A of a circle as a function of its circumference C Express the circumference C of a circle as a function of its area A

Work on the problem below with your group. • s p e t S Draw a picture of the box Label the box Write the volume equation

4. 7 Forming Functions from Verbal Descriptions Surface

Change the window

meters

4. 7 Forming Functions from Verbal Descriptions

t-coordinate of vertex?

Classwork/Homework Page 161 #5, 7, 9, 13, 15, 17 A or B on worksheet