SM187 FLASHCARD 3: Piecewise Functions and Domain restrictions MAKEUP

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What is a piecewise function?

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A piecewise function is a function that is defined by different expressions or formulas for different parts of its domain.

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How do you determine the range of a function?

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To determine the range of a function, analyze the output values (y-values) that the function can produce based on its domain.

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What does it mean for a function to be undefined?

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A function is undefined at a certain point if the expression used to define the function results in division by zero or other indeterminate forms.

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How do you find the value of a function at a specific point, e.g., g(7)?

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To find g(7), substitute x = 7 into the function's expression and simplify.

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What is the significance of the range in a function?

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The range indicates all possible output values (y-values) that a function can produce based on its domain.

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What is a vertical asymptote?

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A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a.

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What is a horizontal asymptote?

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A horizontal asymptote is a line y = b that a function approaches as x approaches infinity or negative infinity.