5 1 ext relations and functions
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This document discusses functions and relations. It defines a relation as a mapping of inputs to outputs, and specifies that a relation is a function only if each input maps to exactly one output. It then provides examples of relations represented as ordered pairs, tables, graphs, and equations, and asks the reader to determine whether each example represents a function or not.
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5 1 ext relations and functions
- 2. • A relation is a mapping, or pairing, of input values with output values. “Mapping Diagram”
- 3. • If any input maps to more than one output, then it is not a function. • Is this a function? Why or why not?
- 4. YES! NO!
- 5. Tell if each represents a function: x y
- 6. Relations and functions can also be represented using: a set of ordered pairs a table a graph an equation
- 7. Is the relation a function? Remember: each input (x) can only have one unique output (y) {(0, 2), (1, 2), (3, 1), (4, 5)} {(-2, 4), (0, 3), (-2, 2), (-4, 1)} YES! NO!
- 8. Determine whether the relation is a function: {(2, 6), (3, 7), (4, 8), (3, 9)} {(1, -3), (0, -4), (-1, -3), (-2, -2)}
- 9. Is the relation a function? input -2 -1 0 0 1 2 output 3 4 5 6 7 8
- 10. Is the relation a function? input output 2 5 4 3 6 3
- 11. • A graph is a function if no vertical line crosses the graph at more than one point.
- 12. Determine whether each graph represents a function. YES! YES! NO!
- 13. Determine whether each graph represents a function.