Chapter 9.7, Problem 36STP

To determine

The equation representing the non-linear function

Answer to Problem 36STP

  $xy=-3$

Explanation of Solution

Given:

The given equations are:

  $\begin{array}{l}F\Rightarrow y=3x+9\\ H\Rightarrow x=-2\\ G\Rightarrow y=9\\ J\Rightarrow xy=-3\end{array}$

Calculation:

Linear Functions: The graph of linear functions is always a straight line. These functions have the form $y=a+bx$ .

F, H and G equations are in the form $y=a+bx$ and form a straight line on the graph.

Whereas, equation J i.e.

  $\begin{array}{l}xy=-3\\ y=\frac{-3}{x}\\ y=-3x^{-1}\end{array}$

This equation is not in the form of $y=a+bx$ and hence, represents a non-linear function.