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12.1 Relations and Functions

Learn about relations, domain, range, and functions in mathematics. Understand how to determine if a relation is a function and calculate function values. Complete homework exercises on page 540, questions 1-20.

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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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