Logarithm and Exponential Review

Some input values, x, and their corresponding output values, f(x), are shown below. Write a function that defines f(x).

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CCSS.HSF.LE.A.2

Function g(x) = log₄ x. Write a function h(x) that represents g(x) with a vertical asymptote at x = 2. Describe the transformation of g(x).

• h(x) = log₄(x + 2), horizontal shift 2 units left

• h(x) = log₄(x - 2), horizontal shift 2 units right

• h(x) = log₄(x) + 2, vertical shift 2 units up

• h(x) = log₄(x) - 2, vertical shift 2 units down

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CCSS.HSF.BF.B.3

• A

• B

• C

• D

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CCSS.HSF-IF.C.7E

• y = log₂(x)

• y = ln(x)

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CCSS.HSF-BF.B.4A

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CCSS.HSF.BF.B.3

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CCSS.HSF.BF.B.3

• 15 years

• 4 years

• 1 year

• 2 years

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CCSS.HSF.LE.A.4