Determine whether the given function is linear or nonlinear.
-$$\begin{array} { c | c }
x & y = f ( x ) \
\hline 3 & 12 \
5 & 20 \
7 & 28 \
9 & 36
\end{array}$$
A) nonlinear
B) linear

Question

Determine whether the given function is linear or nonlinear.
-$$\begin{array} { c | c } 
x & y = f ( x ) \
\hline 3 & 12 \
5 & 20 \
7 & 28 \
9 & 36
\end{array}$$
A) nonlinear
B) linear

Quizplus · Accepted Answer

The function is linear because the difference in y-values divided by the difference in x-values is constant. For each increase of 2 in x (e.g., from 3 to 5, 5 to 7, 7 to 9), the y-value increases by 8, indicating a constant rate of change, which is characteristic of linear functions.

Determine Whether the Given Function Is Linear or Nonlinear xy=f(x)312520728936\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 12 \\5 & 20 \\7 & 28 \\9 & 36\end{array}x3579​y=f(x)12202836​​

Determine Whether the Given Function Is Linear or Nonlinear $\begin{array} { c | c } x & y = f ( x ) \\\hline 3 & 12 \\5 & 20 \\7 & 28 \\9 & 36\end{array}$