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Notes: Relations and Functions Section 1-6

Notes: Relations and Functions Section 1-6. Student Objective: The students will be able to identify relations and functions and evaluate functions . Definitions: Relation – set of ordered ___________ b. Domain – ____________ coordinate in the ordered pair (2,4) Domain ={ }

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Notes: Relations and Functions Section 1-6

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  1. Notes: Relations and Functions Section 1-6 • Student Objective: The students will be able to identify relations and functions and evaluate functions. • Definitions: • Relation – set of ordered ___________ • b. Domain – ____________ coordinate in the ordered pair (2,4) Domain={ } • c. Range – _____________ coordinate in the ordered pair Range={ } • d. Function – relation where each element in the ______________ (x) is paired with exactly 1 element in the _____________ (y). • or: • relation that assigns exactly one value in the range to each value in the domain.

  2. 2. Demonstrate mapping a relation (determine ordered pairs, range, and domain) Domain Range 2 3 7 -4 2 -3 8 a. ordered pairs (2,2) (3,2) (7,8) (-4, -3) (-4, 8) b. domain { ____, ____, ____, ____} c. range {____, ____, ____} Do not repeat answers. To find the inverse of a relation, switch the x and y coordinates. The ordered pairs for the inverse of the relation above would be ( , ), ( , ), ( , ), ( , ), and ( , ).

  3. 3. Using an x-y table with a list of points, determine the ordered pairs, domain, and range Ordered Pairs are: ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) Ordered Pairs are: ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) Function: ______________ Function: _______________

  4. 4. Create a list of ordered pairs to solve the following equations. Show the values on a graph and demonstrate the vertical line test to determine if it is a function. y = 3x – 8 X2 = y + 2

  5. Independent and Dependent Variables • Independent Variable – the input value or the domain value • dependent Variable – the output value or the range value • Look at the previous examples on your paper. • Closure: • What is a relation? • What is the domain and range? • What is a function? • Explain the vertical line test.

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