question
graph the function ( f(x)=log _{2}(-x)+4 ) on the axes below. you must plot the asymptote and any two points with integer coordinates.
asymptote:

Question

Accepted Answer

# Explanation:
## Step1: Find the vertical asymptote
For the function $y = \log_{2}(-x)+4$, the argument of the logarithm $-x>0$, so $x < 0$. As $x\to0^{-}$, the function $y=\log_{2}(-x)+4$ approaches $-\infty$. The vertical asymptote is $x = 0$.
## Step2: Find two points with integer coordinates
Let $x=-1$:
$$
\begin{align*}
y&=\log_{2}(-(-1)) + 4\
&=\log_{2}(1)+4\
&=0 + 4\
&=4
\end{align*}
$$
Let $x=-2$:
$$
\begin{align*}
y&=\log_{2}(-(-2))+4\
&=\log_{2}(2)+4\
&=1 + 4\
&=5
\end{align*}
$$

# Answer:
Asymptote: Vertical ($x = 0$), two points: $(-1,4)$ and $(-2,5)$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the vertical asymptote

Step2: Find two points with integer coordinates

Answer: