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Bellwork

Learn how to graph relations and understand functions. Evaluate f(x)=0.5x-3 for x=4 and graph specific points. Explore the concepts of domain, range, and function.

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Bellwork

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  1. Bellwork • Evaluate f(x)= 5x-3 if x=4 • b) Graph the following point on a graph. *Label Each* • W (1, 3) • X (-1, 0) • y (1/2, -4) • z (0, 4)

  2. Solve for y: f(x)= 5x-3 for x=4 • f(4)= 5(4)-3 • f(4)=20-3 • f(4)=17 • b) Graph the following point on a graph. *Label Each* • (1, 3), (-1, 0), (1/2, -4), (0, 4) ANSWERS (0, 4) (1, 3) (-1, 0) (1/2, -4)

  3. Pg.277

  4. VOCAB REVIEWTurn and discuss the following terms with your neighbor:1.) domain:__________________2.) range:___________________3.) relation:__________________

  5. Ch.4:2- Relations • What is a relationship? • In math arelationis a connection between a set of inputs and a set of outputs

  6. Pg 278

  7. Representations of Relations (other than equations) • Ordered pairs: (-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5) 2) Table:

  8. 3) Graph (-3, -2) (5, 0) (0, 1) (-1, 4) (4, 5) (2, -5)

  9. 4) Mapping (-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5) -3 -1 0 2 4 5 -5 -2 0 1 4 5

  10. 4) Mapping (More common way) (-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5) -3 -1 0 2 4 5 -5 -2 0 1 4 5

  11. Domain and Range • Domain- All inputs (x values) • Range- All outputs (y values) *remember an ordered pair is (x,y)* (-3, -2), (5, 0), (0, 1), (-1, 4), (4, 5), (2, -5) Domain: -3, 5, 0, -1, 4, -5 Range: -5, -2, 0, 1, 4, 5

  12. Function • A function is a special kind of relation where every input goes to exactly one output. It’s PREDICTABLE! *Can be written using Function Notation:

  13. One-to-one • Every input has a unique output

  14. Domain? Range? Function? *Function = Every input has one output

  15. Domain? Range? Function?

  16. Domain:__________Range:___________

  17. Pg. 279

  18. Pg. 279

  19. Domain? Range? Function?

  20. Tom is Driving from Missouri to Georgia and his speed varies between 0 mph and 75mph at various distances from his starting point. Domain? Range? Function?

  21. Pg. 280

  22. Think-Pair-Share

  23. Independent Practice pg. 281

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