Lecture 3.1 bt

200 views

Published on

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

  • Be the first to like this

No Downloads
Views
Total views
200
On SlideShare
0
From Embeds
0
Number of Embeds
10
Actions
Shares
0
Downloads
2
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Lecture 3.1 bt

  1. 1. Today’s Agenda  Attendance / Announcements ◦ Projects due ◦ No Quiz Friday (exam week) ◦ Need Graphing Calculators (TI-83,84,..)  Section 3.1
  2. 2. Functions A function is a rule (think: operation) that assigns an input value to exactly one specific output f(x) can be thought of as “y”
  3. 3. Examples…before we really define what a function is. 32 xy 32)( xxf xxy 323 2 ttth 323)( 2 xy 3 xxg 3)(
  4. 4. A function is a rule (think: operation) that assigns an input value to exactly one specific output inputs outputsf(x) Domain Range
  5. 5. Determine if each relation is a function or not… 9 4 1 0 1 4 9 3 2 1 0 - 1 - 2 - 3 “Functions need to be predictable!”
  6. 6. Determine if each relation is a function or not… -2 -1 0 3 4 6 9 3 2 1 0 1 2 3 Since it is a function, it has a domain and range: Domain (set of all inputs): { } Range (set of all outputs): { }
  7. 7. Function Notation (p. 137)
  8. 8. Evaluating Functions ,2)( 2 xxxfif )3(f )3(f )(tf )3( xf
  9. 9. “The Difference Quotient” The difference quotient for a function f(x) is: h xfhxf )()( Substitute, Subtract, and Simplify
  10. 10. h xfhxf )()( Find the difference quotient of: 53)( xxf
  11. 11. h xfhxf )()( Find the difference quotient of: 53)( xxf
  12. 12. h xfhxf )()( Find the difference quotient of: 1)( 2 xxf
  13. 13. Finding Domains of Functions The domain of a function is the set of values where the function is defined. So, to find domains, we need to think about where functions are NOT defined!
  14. 14. Finding Domains of Functions Red Flags • Zero(s) in the denominator • Negative under square root
  15. 15. Finding Domains of Functions
  16. 16. Finding Domains of Functions
  17. 17. Finding Domains of Functions
  18. 18. Classwork / Homework Page 140 9 – 19 odd, 23 – 29 odd, 35 – 45 odd, 51

×