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

A1 11 functions

312

Published on

Published in: Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
312
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
6
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide
  • 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?
    1. A particular slide catching your eye?

      Clipping is a handy way to collect important slides you want to go back to later.

    ×