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Please solve with as if you didn’t have a calculator

Please solve with as if you didn’t have a calculator-example-1
User Rocquel
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1 Answer

3 votes

Step-by-step explanation:

For the given function


f(x)=(1)/((x+3))-2

We are told to Graph the function

The graph is given below

Thus

The Domain of the function is


\begin{bmatrix}\mathrm{Solution\colon}\: &amp; \: x<-3\quad \mathrm{or}\quad \: x>-3\: \\ \: \mathrm{Interval\: Notation\colon} &amp; \: \mleft(-\infty\: ,\: -3\mright)\cup\mleft(-3,\: \infty\: \mright)\end{bmatrix}

The Range of the function is


\begin{bmatrix}\mathrm{Solution\colon}\: &amp; \: f\mleft(x\mright)<-2\quad \mathrm{or}\quad \: f\mleft(x\mright)>-2\: \\ \: \mathrm{Interval\: Notation\colon} &amp; \: \mleft(-\infty\: ,\: -2\mright)\cup\mleft(-2,\: \infty\: \mright)\end{bmatrix}

The Asymptotes are


\begin{gathered} \mathrm{Vertical}\colon\: x=-3,\: \\ \mathrm{Horizontal}\colon\: y=-2 \end{gathered}

It is decreasing on


\mathrm{Decreasing}\colon-\infty\: <p>It is increasing on</p>[tex]\text{None}

Limits


\begin{gathered} \lim _(x\Rightarrow3^-)f(x)=-\infty \\ \\ \lim _(x\Rightarrow3^+)f(x)=\infty \end{gathered}

Please solve with as if you didn’t have a calculator-example-1
User Fraxture
by
7.1k points

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