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Opener:   Evaluate each of the following expressions for x=5.

          1.) 3x + 6




          2.) 




          3.) x2 +4




                                                                1
3.24 & 3.25     An Introduction to Function Notation

Think Back 
shhhh.....just think! 

                         Think of a linear equation that you have seen this year.  


                         Now, write down your equation.


                         How many solutions are there to this equation?




  Graphing on the        Graph your equation on the Nspire.
  Nspire




                         On the calculator we said f(x) meant the same thing as 
                         what ?



                         Why does it say f1 (x) = .....?




                         How will we represent different functions on paper?




                                                                                      2
Topic One:
Function Basics
              (Ex. 1) Find f(4) if f(x)= 3x+6.




               (Ex. 2) Find g(13) if g(x)= 




Think‐ Pair‐ Share
               (Ex. 3)
                         Find h(7) if h(x)=x2+4.




               (Ex. 4) Find f(‐2) if f(z)= |3z + 1|




              (Ex. 5) Find f(      ) if f (p) = 4(p ‐ 2).




                                                            3
Topic Two: 
Input‐Output Values
              (Ex. 6) Given the function f(x) = x4 ‐ 5 and our knowledge 
                      about exponents, label which column you think is the 
                      input and which is the output.




                      What value belongs in the third input box?  How might 
                      we solve for that value?




                      If we were given the input value instead, how would we 
                      solve for the output value?




  It's Your Turn!     Use the function f(x) = ‐2x + 5 to complete the table 
              (Ex. 7) with your partner.




                                                                                4
5
Exit Slip:        I need your help to come up with a STELLAR opener for 
Design an Opener. next class.

                   With your group, please write 2 questions that can be 
                   used as an opener in future classes.  These questions 
                   should review topics we discussed today: basic 
                   evaluation of functions and problems dealing with 
                   input‐output values of functions.  The questions may be 
                   similar in nature to what we did today, or may challenge 
                   your classmates beyond the scope of today's lesson.

                   Remember that I will be collecting these, and they will 
                   serve as a part of your group assignment grade. 




                                                                               6
7
Homework:   Evaluating Functions Worksheet 




                                              8
9
10

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Functions D1 Notes

  • 1. Opener: Evaluate each of the following expressions for x=5. 1.) 3x + 6 2.)  3.) x2 +4 1
  • 2. 3.24 & 3.25 An Introduction to Function Notation Think Back  shhhh.....just think!  Think of a linear equation that you have seen this year.   Now, write down your equation. How many solutions are there to this equation? Graphing on the  Graph your equation on the Nspire. Nspire On the calculator we said f(x) meant the same thing as  what ? Why does it say f1 (x) = .....? How will we represent different functions on paper? 2
  • 3. Topic One: Function Basics (Ex. 1) Find f(4) if f(x)= 3x+6. (Ex. 2) Find g(13) if g(x)=  Think‐ Pair‐ Share (Ex. 3) Find h(7) if h(x)=x2+4. (Ex. 4) Find f(‐2) if f(z)= |3z + 1| (Ex. 5) Find f(      ) if f (p) = 4(p ‐ 2). 3
  • 4. Topic Two:  Input‐Output Values (Ex. 6) Given the function f(x) = x4 ‐ 5 and our knowledge  about exponents, label which column you think is the  input and which is the output. What value belongs in the third input box?  How might  we solve for that value? If we were given the input value instead, how would we  solve for the output value? It's Your Turn! Use the function f(x) = ‐2x + 5 to complete the table  (Ex. 7) with your partner. 4
  • 5. 5
  • 6. Exit Slip: I need your help to come up with a STELLAR opener for  Design an Opener. next class. With your group, please write 2 questions that can be  used as an opener in future classes.  These questions  should review topics we discussed today: basic  evaluation of functions and problems dealing with  input‐output values of functions.  The questions may be  similar in nature to what we did today, or may challenge  your classmates beyond the scope of today's lesson. Remember that I will be collecting these, and they will  serve as a part of your group assignment grade.  6
  • 7. 7
  • 8. Homework: Evaluating Functions Worksheet  8
  • 9. 9
  • 10. 10