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Published byClaribel Jordan Modified over 5 years ago
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A step function has the same y-value for several x-values and then steps up or down to another y-value. The graph looks like stair steps.
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The circles in the graph show this is still a function (only 1 y-value for each x).
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One of the most common step functions is called the greatest integer function. y = x means y is the greatest integer less than or equal to x
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So … 3.2 = 4.7 = 19.002 = 52.99999 = 6 = .36 = -7/275 =
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So … 3.2 = 3 4.7 = 4 19.002 = 19 52.99999 = 52 6 = 6 .36 = 0 -7/275 = -8
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NOTE: While your book uses the notation
NOTE: While your book uses the notation y = x it is also standard to write y = [ x ]
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NOTE: While your book uses the notation
NOTE: While your book uses the notation y = x it is also standard to write y = [ x ] or 𝑦= 𝑥 or y = INT(x)
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Graph of the greatest integer function y = x
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y = x is often called the floor function (which is where the notation comes from) because it always rounds down to the previous integer.
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A similar function y = x is called the ceiling function and always rounds up to the next integer.
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y = x
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You can also create more complicated floor and ceiling functions such as y = x + 1
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The current cost to mail a letter is. y =. 47 +
The current cost to mail a letter is y = x – 1 How much does it cost to mail a letter that weighs 2.4 ounces?
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The current cost to mail a letter is. y =. 47 +
The current cost to mail a letter is y = x – 1 How much does it cost to mail a letter that weighs 2.4 ounces? y = * 2 = .89
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