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3.1 FUNCTIONS Chp. 3

3.1 FUNCTIONS Chp. 3. Relation: An identified relationship between two variables that may be expressed as ordered pairs, a table of values, a graph or an equation. Ex 1. (6,216), (7, 343) , (8, 512).

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3.1 FUNCTIONS Chp. 3

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  1. 3.1 FUNCTIONS Chp. 3 Relation: An identified relationship between two variables that may be expressed as ordered pairs, a table of values, a graph or an equation Ex 1. (6,216), (7, 343) , (8, 512) Function: A set of ordered pairs in which, for every value of x, there is only one value of y. Yes, it’s a function Ex 2. (1, 5), (2, 6) , (3, 7) , (4, 8) No, it’s not a function Ex 3. (2, 7), (3, 8), (3, 9), (4, 9)

  2. -3 -2 -1 0 1 2 3 Domain & Range Domain = The set of the first elements in a relation (think of the x-values)

  3. 3 2 1 0 -1 -2 Domain & Range Range = The set of the second elements in a relation (think of the y-values)

  4. Domain & Range Ex 1: State the Domain & Range of each. Determine if it is a function a) (-2, 2), (-3, 3), (-4, 4) , (-3, 5) , (-1, 6) Domain = { } -4, -3, -2, -1 Range = { } 2, 3, 4, 5, 6 No, it’s not a function… The value of –3 in the domain has two different values in the range.

  5. Vertical Line Test If a line passes through more than one point on a graph of a relation, then the relation is not a function. Yes, it’s a function No, it’s not a function

  6. Domain & Range Ex 2: State the Domain & Range of each. Determine if it is a function b) y = x2 Yes, it’s a function We say “ x such that x is an element of the set of Real Numbers” Domain = Range =

  7. x y -2 -1 0 1 Domain & Range Ex 3: State the Domain & Range of each. Determine if it is a function b) y = -2x + 3 Domain = Yes, it’s a function Range =

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