Exponential and Logarithm Review

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What is the definition of a vertical asymptote?

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A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as the input approaches a. It indicates that the function is undefined at that point.

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What is the definition of a horizontal asymptote?

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A horizontal asymptote is a line y = b that a function approaches as the input approaches positive or negative infinity. It indicates the behavior of the function at extreme values.

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The domain is all real numbers except x = 0, which can be expressed as D: (-∞, 0) ∪ (0, ∞).

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The range is all real numbers, which can be expressed as R: (-∞, ∞).

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Set the argument of the logarithm to zero: x^2 = 0. The vertical asymptote is at x = 0.

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What is the formula for exponential decay?

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If 700 pounds of material decays to 146 pounds, how do you set up the equation?

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The value is 2, since 5^2 = 25.

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