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12.1 Relations and Functions

12.1 Relations and Functions. Relation. Set of ordered pairs Ex:{(1,2) , (3,4) (2,5)}. Domain. The set of the first coordinates X-values Inputs Ex:{1,2,3}. Range. Set of second coordinates Y-value Out put Function Values Ex: {2,4,5}. Function.

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12.1 Relations and Functions

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  1. 12.1 Relations and Functions

  2. Relation • Set of ordered pairs • Ex:{(1,2) , (3,4) (2,5)}

  3. Domain • The set of the first coordinates • X-values • Inputs • Ex:{1,2,3}

  4. Range • Set of second coordinates • Y-value • Out put • Function Values • Ex: {2,4,5}

  5. Function • A relation that assigns to each member of the doain exactly one member of the range

  6. “Function”A relationship in which each input value (x) has only one output value (y). Domain Input Range Output

  7. “Function”A relationship in which each input value (x) has only one output value (y). NOT a function

  8. Is this relation a function? {(0,1), (1,2), (1,3), (2,4)} List the domain and range values in order and draw arrows from the domain to the range to determine. Domain Range 0 1 • 2 • 3 4 No, because 1 goes to 2 and 3

  9. Function Notation

  10. Are the following ordered pairs a function? (1,-4),(2,11), (3, 31), and (4,59) YES!

  11. Find f(5) 12 Find f(-3) 4 Find f(0) 7

  12. Find g(5) 7 Find g(-3) -9 Find g(0) -3

  13. Homework • Page 540 (1-20) all

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