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
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- 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
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- 8. Homework: Evaluating Functions Worksheet 8
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