“Education—continuing education, continually honing and expanding the mind—is vital mental renewal.” Do Now  Put your homework on your desk for a stamp  Take out your student text book and open to 3.3  Answer the questions to the right. (Hint: “Family function” is referring to what type of function—linear, quadratic, cubic, exponential…)

Homework questions?

 Are All Functions Created Equal? 3.3

Today’s Objectives  Identify equivalent forms of functions in various representations.  Model situations using tables, graphs, and equations.  Use functions to make predictions.  Determine whether two forms of a function are equivalent.  Use problem solving skills

Key terms  Relation  A mapping between a set of input values and a set of output values.  Function  A relation such that for each element of the domain there exists exactly one element in the range.  Function notation  A way to represent functions algebraically. f(x)

You Aren’t Looking Like Yourself Today  Cut out the relations on pages  Analyze and sort the relations into groups of equivalent representations.  Attach your groupings on the blank pages and write why you grouped each set the way you did.

How did you group them?  Answer #1-3 on page 149

Why Are You So Square?  Read the paragraph  Analyze the designs for #1  Answer #2-7 with a partner  Class discussion for #8  Finish #9-10 with a partner

Talk the Talk  Work with your partner.  Be ready to share your solutions and methods.

Today’s Objectives  Identify equivalent forms of functions in various representations.  Model situations using tables, graphs, and equations.  Use functions to make predictions.  Determine whether two forms of a function are equivalent.  Use problem solving skills

3.3 Exit Slip  Determine if each pair of functions is equivalent. Show why or why not.