WEBVTT
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The given graph represents a function.
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What would be the value of the output for an input of five?
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Our input is five, so we look for five on the 𝑥-axis.
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There it is.
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And now we look for the point on our graph which has 𝑥-coordinate five.
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We travel vertically from five on the 𝑥-axis until we hit this point.
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And reading across to the 𝑦-axis, we see that the 𝑦-coordinate of this point is two.
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This point therefore has coordinates five, two.
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For any point on the graph of a function, the 𝑥-coordinate is the input to that function and the 𝑦-coordinate is the corresponding output, so the fact that the point five, two lies on our graph tells us that an input of five gives an output of two.
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And so our answer is two.
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The value of the output for an input of five is two.