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What is the end behavior of the function (on left and right side)? pls help

What is the end behavior of the function (on left and right side)? pls help-example-1

1 Answer

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1) As we have in this exponential function, a base such as 0

2) So, the end behavior can be described by:


\begin{gathered} x\rightarrow\infty f(x)\rightarrow\infty \\ x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty \end{gathered}

As long as the values of x increase the value of f(x) increases up to the asymptote y=6, and as x goes negative the values of f(x), or y, decrease as well.

3) Hence, the answer is:


\begin{gathered} x\rightarrow\infty f(x)\rightarrow\infty \\ x\rightarrow-\infty,\text{ f(x)}\rightarrow-\infty \end{gathered}

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