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Curve Inputs and Outputs

A function matches every input value with exactly one output value. On a curve, you move from an input on the horizontal axis to the curve, then across to the vertical axis to read its image; tracing the path backward can show an antecedent.

In the picture

  1. The point on the curve where the dashed lines meet: the output matched to the chosen input.
  2. The dot on the horizontal axis: the chosen input value.
  3. The dot on the vertical axis: the output value read from the curve.
  4. A second point on the curve reached from the vertical axis and dropping to the horizontal axis: an output that leads back to an input.

Examples

  • A vending machine button: one button press gives one snack.
  • A temperature chart: each day has one recorded high temperature.

Quiz: Curve Inputs and Outputs (Age 15)

  1. In a function, how many outputs does each input have?

    • Exactly one
    • Two or more
    • None
  2. According to the card, how many antecedents can an output have?

    • Exactly one
    • One or more
    • None
  3. To read the image of an input from a curve, what do you do?

    • Read the input directly from the vertical axis without using the curve.
    • Go from the output on the vertical axis to the curve, then down to the horizontal axis.
    • Go from the input on the horizontal axis to the curve, then across to the vertical axis.

The answers, each with its explanation, are in the app. This lesson has left the free week, so its quiz is part of the subscription.

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Maths, Age 15