Question

Select linear or nonlinear for each function.

Answer 1

First, let's look at y=15.

If you graph this, this is just a horizontal line with a y value of 15.

Thus, the first function is linear.

Next, let's look at

Notice that this function has an x to a power of 3.

Since this power is greater than 1, this cannot be linear.

Thus, the second function is nonlinear.

Finally, let's look at y=11+5x.

Let's change the order of the 11 and 5x.

We get y=5x+11.

This function is in the form of y=mx+b, which is the slope-intercept form of a line (where m is the slope and b is the y-intercept).

Thus, the last function is linear.

Answer 2

2 linear
1,3 nonlinear