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Graphing Logarithmic Functions

Question 3 • FL-1200330-Algebra 2 CR

What happens to the value of f(x) = log4x as x approaches 0 from the right?

Answer
A
f(x) approaches negative infinity
B
f(x) approaches 0
C
f(x) approaches infinity

Explanation

For f(x) = log₄(x), the input x must be positive. As x approaches 0 from the right, it becomes a smaller positive number, and its logarithm decreases without bound; for example, log₄(1/4) = −1 and log₄(1/16) = −2. Therefore, f(x) approaches negative infinity, so choice A is correct.

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