Choose the one alternative that best completes the statement or answers the question.
A relation in x and y is given. Determine if the relation defines y as a one-to-one function of x.
-$$\begin{array} { c | c }
x & y \
\hline 1.5 & 1.12 \
\hline 5.8 & - 0.34 \
\hline - 6.2 & - 2.56 \
\hline 4.3 & - 0.66
\end{array}$$
A) Yes
B) No

Question

Choose the one alternative that best completes the statement or answers the question.
A relation in x and y is given. Determine if the relation defines y as a one-to-one function of x.
-$$\begin{array} { c | c } 
x & y \
\hline 1.5 & 1.12 \
\hline 5.8 & - 0.34 \
\hline - 6.2 & - 2.56 \
\hline 4.3 & - 0.66
\end{array}$$
A) Yes
B) No

Quizplus · Accepted Answer

For a relation to define y as a one-to-one function of x, each x-value must correspond to exactly one unique y-value, and each y-value must correspond to exactly one unique x-value. The given table shows that each x-value is paired with a unique y-value, and no y-value is repeated, thus defining y as a one-to-one function of x.

Choose the One Alternative That Best Completes the Statement or Answers