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Select the correct answer. Consider the graph of the function \( f(x) = \log x \). Which is a feature of...

Select the correct answer.
Consider the graph of the function \( f(x) = \log x \).
Which is a feature of function \( g \) if \( g(x) = -4\log(x - 8) \)?
○ The value of the function decreases as \( x \) approaches positive infinity.
○ The range is \( y > -8 \).
○ The value of the function increases as \( x \) approaches positive infinity.
○ The domain is \( x < 8 \).

Answer

The value of the function decreases as \( x \) approaches positive infinity.

The function \( g(x) = -4\log(x - 8) \) is a transformation of the logarithmic function. The negative sign indicates that the function is reflected over the x-axis, causing it to decrease as \( x \) increases.

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