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5 WAYS

5 WAYS. to determine if it is a function. Relation - a set of input values and output values, often written as ordered pairs (where x is i nput and y is output) A function is a rule that assigns each input to exactly one output. Input Output

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5 WAYS

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  1. 5 WAYS to determine if it is a function

  2. Relation- a set of input values and output values, often written as ordered pairs (where x is input and y is output)A function is a rule that assigns each input to exactly one output. Input Output 2 3 4 4 6 6 8

  3. This mapping shows each input value and its corresponding output value. This is NOT a function. Why? Input Output 2 3 4 4 6 6 8 The input “2” has more than one output.

  4. Is this a function? Input Output 12 03 Yes, the inputs have only one output.

  5. Is this relation a function? (3,1), (5,3), (2,8), (6,8) Yes, each input (x) has only one output (y)! None of the x’s are repeated!

  6. Is this relation a function? (5,8), (3,7), (1,6), (5,4) No, the input 5 has two outputs!

  7. Is this a function? No, because the input 2 has two outputs. Draw a vertical line to check.

  8. Is this a function? Yes, because each input has only one output. Draw vertical lines to check.

  9. Is this a function? No, because the input, 3, has infinite outputs.

  10. Is this a function? NO, use the vertical line test.

  11. Is this a function? y = 4x + 1 Yes, it’s linear, so think about the shape of the graph and the vertical line test!

  12. Is this a function? x y 0 1 • 3 2 5 Yes, each input has only one output!

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