graphs we often use graphs to show how two variables are related. all these examples come straight...
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GraphsWe often use graphs to show how two variables are related.
All these examples come straight from your book.
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One of the most common things we do in algebra is to identify and understand patterns.
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Terms used when identifying patterns: Independent variable
Input – what you start with
You choose or aregiven the values you use for it
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Dependent variableOutput – end result
The value depends on the input
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Most often we use “x” for the independent variable and “y” for the dependent variable.
So the value of “y” depends on what value we are given for “x”.
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We can represent patterns in a variety of ways
words pictures tables equations graphs
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This is called a linear relationship because the perimeter changes by the same amount for each rectangle that is added.
The points are all ona line.
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A function is a relationship where each possible value of the independent variable gives just one value for the dependent variable. 1 output for each input Just one “y” for each “x” You never get more than
one answer
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The relationship between rectangles and perimeter can be called a linear function.
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Examples of patterns that are not functions:
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Examples of functions that are not linear: