Day 1: Exponential Functions Exit Ticket

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Domain: All real numbers; @@(- ext{infty}, ext{infty})@@.

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What does it mean for a function to have a domain of all real numbers?

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It means that the function is defined for every possible value of x.

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What does it mean for a function to have a range of all real numbers less than 3?

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It means that the output of the function can take any value less than 3.

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Reflection across x-axis, compress by a factor of 1/2, shift right by 1, shift up by 4.

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What does it mean to reflect a function across the x-axis?

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It means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

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What does it mean to compress a function by a factor of 1/2?

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It means that the function's output values are halved, making the graph steeper.

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What does it mean to shift a function right by 1?

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It means that the entire graph of the function moves 1 unit to the right on the x-axis.

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What does it mean to shift a function up by 4?

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It means that the entire graph of the function moves 4 units up on the y-axis.

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What is an exponential function?

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