The dynamic figure below presents three correspondence rules
for linear functions. Each one has a different form,
graph, and value table.
Can you change the correspondence rules so that the
three forms describe the same function, that is,
to obtain three equivalent correspondence
rules for the same functions?
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This activity focuses on writing
different correspondence rules for the same function.
The three tools supplied for this activity present three useful
forms for writing correspondence rules for linear functions.
Each form helps glean different information
about the function.
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Summarize what you have learned about equivalent correspondence
rules for linear functions
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Show examples of equivalent correspondence rules for a linear function.
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Describe ways to transform one correspondence rule into a
different one that is equivalent to it.
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Describe ways to check whether two correspondence rules are equivalent.
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Describe how you would decide which form of correspondence rule
to use, and how this decision is related to the information that
can be gleaned from the correpondence rule about the
function's properties and about the phenomenon that the
function describes.
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