Exercise 1.2.3 (3-4)

Question

Match each equation with its graph. Explain your choices. (Do not use a computer or graphing calculator.)

Khagan Gulusoy · Accepted Answer

\begin{enumerate}
    \item [3.] Since the graph of the function $f$ is symmetric about the origin and $y=x^5$ is the only equation in the list that describes an odd function, the graph of the function $f$ represents the equation $y=x^5.$ Since the graph of $g$ is flatter near zero than the graph of $h,$ the graph of $g$ represents the equation $y=x^8,$ and therefore, the equation $y=x^2$ is described visually by the graph of $h$.

\item [4.]  \begin{enumerate}
        \item $y=3x$ is a linear function, therefore the function $G$ describes it visually.
        \item $y=3^x$ is an exponential function. Therefore, the graph of $f$ describes $y=3^x$ visually.
        \item $y=x^3$ is an odd power function. Therefore, the graph of $F$ represents the function $y=x^3.$
        \item $y=\sqrt[3]{x}$ is a root function. The graph of the function $G$ is a root function graph. 
    \end{enumerate}
\end{enumerate}

Exercise 1.2.3 (3-4)

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Exercise 1.2.3 (3-4)

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