Unit 5 Flashcard 2

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down 5

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Domain: x cannot be 3; Range: y cannot be 2

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Removeable Discontinuity at x = -3; VA at x = 4

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left 1

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Removeable Discontinuity at x = -4/3; VA at x = -2

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Define removable discontinuity.

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A removable discontinuity occurs when a function is not defined at a point, but can be made continuous by defining it at that point.

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What is a vertical asymptote (VA)?

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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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How do you find the domain of a rational function?

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The domain of a rational function is all real numbers except where the denominator equals zero.

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What does it mean for a function to be continuous?

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A function is continuous if there are no breaks, jumps, or holes in its graph.

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What is the effect of subtracting a constant from a function?

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Subtracting a constant shifts the graph of the function downward by that constant.