Classify the table of values.

x -3 -2 -1 0 1 2 3
f(x) 4 3.5 3 2.5 2 1.5 1
Question 2 options:

Linear

Exponential

Quadratic

None of these

Step-by-step explanation:

In the linear function y = mx + b, m is the slope which is a constant among all the values in the table, and b is the y intercept.  The y-intercept exists where x = 0.  

Looking at the y values of our table, it appears that they are decreasing by a constant 1/2.  If this is linear, then that's our slope:  -1/2.

Now looking at the coordinate where x = 0, we see that y is 2.5.  Again, if this is linear, our equation is

Let's test it out.  Let's plug in a 3 for x.  If we solve and get that y = 1, then we know we have found the correct equation for the data:

which simplifies to

-3/2 is the same thing as -1.5 so

y = -1.5 + 2.5 so

y = 1

In our table, we see that when x = 3, y = 1.  So we're good!