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What are the 4 Ways to Represent a Function? |
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1) Verbally 2) Numerically 3) Visually 4) Algebraically |
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How do you represent a function verbally? |
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How do you represent a function numerically? |
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How do you represent a function visually? |
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How do you represent a function algebraically? |
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Definition
a rule that assigns to each element "x" in a domain exactly one element "y" |
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What does the Vertical Line Test determine? |
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Definition
It determines that a curve in the "xy" plane is the graph of a function if and only if no vertical line intersects the curve more than once |
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What is a Piecewise Function? |
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Definition
a function defined by more than 1 formula on different parts of its domain |
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What is an Even Function? |
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Definition
If a function "f" satisfies f(-x)=f(x) for every "x" in its domain, then it has symmetry about the "y" axis |
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Definition
If a function "f" satisfies f(-x)=-f(x), then it has symmetry about the origin (must go thru origin) |
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When is a function increasing? |
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Definition
A function is increasing on an interval if f(x1) |
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When is a function decreasing? |
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Definition
A function is decreasing on an interval if f(x1)>f(x2) whenever x1 |
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