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# A1 11 functions

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• Ask students why they think that.
• WAIT BEFORE NEXT SLIDE!!Ask how it can be written as an equation using domain first.
• Ask students why they think that.
• WAIT BEFORE NEXT SLIDE!!Ask how it can be written as an equation using domain first.
• ### A1 11 functions

1. 1. Functions EvaluatingDomain and Range Sequences
2. 2. Function Notation: f(x) _ is the input f is the This does name of NOT meanthe function f ____ x f(x)
3. 3. Function Notation: f(x) x is the input f is the This does name of NOT meanthe function f ____ x f(x)
4. 4. Function Notation: f(x) x is the input f is the This does name of NOT meanthe function f times x f(x)
5. 5. Evaluating functions
6. 6. DomainIf a function is undefined for anyinput, we say that number is not inthe domain of the function.
7. 7. What is the domain and range of this function? y = 2x + 1
8. 8. What is the domain and range of this function? Scatter plot
9. 9. What is the domain and range of this function? y = sin x
10. 10. SequencesDomain = Set of Natural numbers
11. 11. SequencesUsually some kind of pattern…
12. 12. 5, 10, 15, 20, … What comes next?
13. 13. 5, 10, 15, 20, 25 This is called an arithmetic sequence.“Arithmetic” sequences add the same number every time to the previous number.
14. 14. 5, 10, 15, 20, 25We can define this sequence with an equation: f(xn) = xn-1 + 5
15. 15. Can you write anarithmetic sequence thatstarts with -2 and adds 3 each time?
16. 16. 2, 4, 8, 16, …What comes next?
17. 17. 2, 4, 8, 16, 32This is called a geometric sequence.“Geometric” sequences multiply the same number to the one before.
18. 18. 2, 4, 8, 16, 32We can define this sequence with an equation: f(xn) = 2(xn-1)
19. 19. Can you write ageometric sequence that starts with ¼ and multiplies by 2 each time?