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Bell Work:

Bell Work:. Function Machine . Level of Speaking. Let’s review………. What is a relation? What is a function? How do we know a relation is a function?. Relations and Functions. Relation : a set of ordered pairs Domain : the set of x -coordinates

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Bell Work:

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  1. Bell Work: Function Machine Level of Speaking

  2. Let’s review……… What is a relation? What is a function? How do we know a relation is a function?

  3. Relations and Functions Relation: a set of ordered pairs Domain: the set of x-coordinates Range: the set of y-coordinates When writing the domain and range, do not repeat values. • Relations can be described in several ways: ordered pairs, table, graph or mapping

  4. Table x y Showing Multiple Representations of Relations Express the relation {(2, 3), (4, 7), (6, 8)} as a table, as a graph, and as a mapping diagram. Graph Mapping Diagram y x 2 3 3 2 4 7 7 4 6 8 8 6

  5. Finding the Domain and Range Given the ordered pairs: {(2, -6), (1, 4), (2, 4), (0,0), (1, -6), (3, 0)} D: R: {0,1, 2, 3} {-6, 0, 4} Table: {3, 7, 0, -2, -5} {4, 2, -1, 0, 3} D: R:

  6. Graph: 2 1 0 3 -6 4 0 Mapping: D: R: {2, 1, 0, 3} {-6, 4, 0} all real numbers y ≥ 0 D: R:

  7. PRACTICE Time!! DO the Practice 1.1 Level of Speaking

  8. Functions: A function is a relation in which each element of the domain is paired with exactly oneelement of the range. • Another way of saying it is that there is one and only one output (y) with each input (x). • x-values do not repeat • y-values can be repeated.

  9. Do the ordered pairs represent a function? 1. {(3, 4), (7, 2), (0, -1), (-2, 2), (-5, 0), (3, 3)} No, 3 is paired with two numbers or 3 is repeated in the domain. 2. {(4, 1), (5, 2), (8, 2), (9, 8)} Yes, no x-coordinate is repeated. 3. No, domain(x) is paired with two range(y)

  10. Vertical Line Test (pencil test) If any vertical line passes through more than one point of the graph, then that relation is not a function. Are these functions? FUNCTION! FUNCTION! NOPE!

  11. x x x x y y y y Does the graph represent a function? Name the domain and range. Yes D: all reals R: all reals Yes D: all reals R: y ≥ -6 No D: x ≥ 1 R: all reals No D: all reals R: all reals

  12. Now it’s your turn!!! Practice 1.1 Identifying Graphs Level of Speaking

  13. How can I use my graphing calculator to explore a function?

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