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Definition: A function is a rule that assigns each input exactly one output

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Definition: The graph represents a function if a vertical line drawn on the graph only intersects the graph at exactly one point

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Definition: Functions can be compared by looking at their slope, or rate of change

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Definition: A linear function is a function that will make a straight line

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Definition: A non-linear function is a function that will NOT make a straight line

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Definition: y=mx+b

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Definition: A function is considered increasing if from left to right the values increase

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Definition: A function is considered decreasing if from left to right the values decrease

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Me explaining the vertical line test

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1. Rate of Change - The more annoying I get the more the  cats don't like me
2. Decreasing Function - The more money I take out of my bank account, the less money I have in my bank account
3. Increasing Function - The more money I put into my bank account, the more money I have in my bank account

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Function:

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Vertical Line Test:

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Rate of change:

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Linear Function

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Non-linear function

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Slope-Intercept Form

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Increasing Function

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Decreasing Function