Question

Determine whether each function is linear or non linear function

Answer 1

To solve the exercise you can graph and join the ordered pairs that make up each function. The function whose graph is a straight line will be a linear function. So, you have:

First function:

As you can see the points form a straight line, so this function is linear.

Second function:

As you can see, the points do not form a straight line, so this function is not linear.

Third function:

In this case, they give you the equation of a line in its slope-intercept form, that is:

`\begin{gathered} y=mx+b \\ \text{ Where m is the slope of the line and } \\ \text{b is the y-intercept} \end{gathered}`

So this function of course is linear and the graph of this would be:

Fourth function:

This function is called absolute value and it determines the distance from a number to zero. Its graph is:

As you can see, the graph of this function is not totally a single line, so this function is not linear.