Functions: Graphing and Translations Flashcard

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What is the x-intercept of a linear function?

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The x-intercept is the point where the graph of the function crosses the x-axis, which occurs when y = 0.

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Set y = 0 and solve for x: 5x = -25, so x = -5. The x-intercept is (-5, 0).

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CCSS.HSA.REI.D.12

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Back

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CCSS.HSF.BF.B.3

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What is the formula for the nth term of an arithmetic sequence?

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CCSS.HSF.BF.A.2

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Find the 22nd term of the sequence: 5, 8, 11, ...

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The common difference is 3. Using the formula, the 22nd term is 5 + (22-1)3 = 68.

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CCSS.HSF.BF.A.2

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What is an exponential function?

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How do you write an exponential equation from a table of values?

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CCSS.HSF.LE.A.2

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What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

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It is a straight line with a slope of -1 and a y-intercept at (0, 1).