Function Tables

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What is a function table?

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A function table is a chart that shows how each input (x-value) is related to an output (y-value) based on a specific function or rule.

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This equation represents a linear function where the output (y) is determined by multiplying the input (x) by 3 and then adding 1.

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How do you find the output of a function?

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To find the output, substitute the input value into the function's equation and solve for y.

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The slope is 2, which indicates that for every increase of 1 in x, y increases by 2.

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The y-intercept is 7, which is the value of y when x is 0.

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How do you determine if a table of values represents a function?

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A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

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It indicates that y increases by 1 for every increase of 1 in x, with a starting value of 5 when x is 0.