Radical Functions Review

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What does the term 'radical function' refer to?

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A radical function is a function that contains a variable within a radical (square root, cube root, etc.).

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How do you find the x-intercepts of a radical function?

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Set the function equal to zero and solve for x.

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What is the general form of a square root function?

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The parameter 'a' affects the vertical stretch or compression and the direction of the graph (upward if a > 0, downward if a < 0).

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The vertex is at the point (3, 5).

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How do you determine the end behavior of a radical function?

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Analyze the leading term and its coefficient to determine how the function behaves as x approaches infinity or negative infinity.

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What is the significance of the value under the square root in a radical function?

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It determines the domain; the expression must be non-negative for real values.

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This represents a vertical shift of 2 units upward from the basic square root function.