Extra Credit Unit 5

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x = 3, x = 7

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14x^{12}y^8\sqrt{x}

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x = 9

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D: [-5, \infty), R: [-3, \infty)

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Front

What is the definition of a square root?

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What is an extraneous solution?

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An extraneous solution is a solution that emerges from the process of solving an equation but does not satisfy the original equation.

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How do you find the domain of a function involving a square root?

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Set the expression inside the square root greater than or equal to zero and solve for x.

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What is the principle of simplifying radicals?

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To simplify a radical, factor out perfect squares from under the radical sign.

Front

What is the difference between domain and range?

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Domain refers to the set of all possible input values (x), while range refers to the set of all possible output values (f(x)).