create an input-output table and graph the function y = |2x| + 1

Answer 1

The x is the independent variable which means you get to pick whatever you want for x. I would suggest some easy things though, like 0, 1, 2, 3 and in this case, -1, -2, -3. Then to figure out what the associated y value that goes with each x, you just plug the x you picked into the equation and see what the y is. For example, x = 1 means y = |2*(1)| + 1 = 2 + 1 = 3 and for x = -3, y = |2*(-3)| + 1 = |-6| + 1 = 6 + 1 = 7

So the table looks like this:

x | y

-------

-3| 7

-2 | 5

-1 | 3

0 | 1

1 | 3

2 | 5

3 | 7

Then you graph these points and connect the lines: