Exercise 1.1.15 (15-18)

Question

Determine whether the curve is the graph of a function of x. If it is, state the domain and range of the function.

Khagan Gulusoy · Accepted Answer

\begin{enumerate}
    \item [15.] Since the horizontal line $x=0$ crosses the graph in more than one point, the graph does not represent a function. 
    \item [16.] The graph in (16) does not fail Vertical Line Test. Its domain is $[-2, \ 2]$ and its range is $[-1;2].$ 
    \item[17.] The graph does not fail Vertical Line Test. Its domain is $[-3, \ 2]$ and its range is $[-3, \ -2)\cup [-1, \ 3].$ 
    \item[18.] The plot fails Vertical Line Test. There are infinitely many outputs assigned for one $x$ (for example, $x=0$ takes all the numbers in $[-1, \ 0]$ as an output). That is why, the plot (18) does not represent a function. 
\end{enumerate}

Exercise 1.1.15 (15-18)

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Exercise 1.1.15 (15-18)

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