Evaluate the function $f ( x ) = \log _ { 2 } x$ at $x = \frac { 1 } { 2 }$ without using a calculator.
A) $0$
B) $- 1$
C) $- 2$
D) $2$
E) $\frac { 1 } { 2 }$

Name: Evaluate the function $f ( x ) = \log _ { 2 } x$ at $x = \frac { 1 } { 2 }$ without using a calculator. A) $0$ B) $- 1$ C) $- 2$ D) $2$ E) $\frac { 1 } { 2 }$
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Question

Quizplus · Accepted Answer

Recall that $\log_2\left(\frac{1}{2}ight)=-\log_2 2^{-1}=-(-1)=1$. Therefore, $f\left(\frac{1}{2}ight)=\log_2\frac{1}{2}=-1$. The answer is $\boxed{	extbf{(B)}}$.

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