Math Analysis AB ­ Unit 1 ­ Day 9
Objectives:
Graph greatest integer and signum functions
Thinking Skill: Explicitly assess information and draw conclusions
The Signum Function
Write a piecewise function to represent this graph.
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The greatest integer function, denoted by , is defined as the greatest integer less than or equal to x.
Evaluate each of the following:
We can create a table of values that groups input values that produce the same output
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The Greatest Integer Function
We can also graph functions that are transformations of the greatest integer function.
Ex: Graph 3
We can also graph functions that are transformations of the greatest integer function.
Ex: Graph The price of a telephone call between Los Angeles and San Francisco is $0.50 for less than one minute and $0.36 for each additional minute (or portion of a minute). The greatest integer function can be used to create a model for the cost of this call, as follows.
where C is the total cost of the call in dollars and t is the length of the call in minutes. Sketch the graph of this function.
Let's make a tables of values:
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The Price of a Telephone Call
C
t
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