Graphing Step Functions: A General Look

[nycmathguy]

Let's talk about individual parts of the step function.

Sample A

f(x) = [[ x - 3 ]]

1. Considering there is no number in front of the double brackets, we assume there is a 1 there, right?

2. Minus 3 inside the double brackets means we move the parent function f(x) = [[ x ]] three units to the right. Agree?

Sample B

f(x) = [[ x - 3 ]] + 3

For this example, the final graph for Sample A is then moved up by three units. You say?

Sample C

f(x) = [[ x + 3 ]]

Plus 3 inside the double brackets means we move the parent function f(x) = [[ x ]] three units to the left. Agree?

Sample D

f(x) = [[ x + 3 ]] - 3

For this example, the final graph for Sample D is then moved down by three units. You say?

Sample E

The parent function f(x) = [[ x ]] begins at the origin.

You say?

 

[MathLover1]

correct

 

[nycmathguy]

correct

Perfect. I like my own notes.