MATH III

Piece-wise functions

The problem

The first step will be to solve x^2. We know that an x^2 is always a parabola.

For our intendends and purposes, we will draw a parabola but will stop at x=2.

The reason for this is because x is smaller than 2. For the second problem, it will be the same procedure. We graph a 6 in our y axis but move it two steps to the right because x=2. Now, for our third problem, x is bigger than two but x is also smaller or equal to 6. This means that we will graph our ten in our y axis but will not draw it until we surpass x=2, we will write a white dot since it is not equal to 2. 6, on the other hand is equal to x, because of this, we will stop our line on 6 but will draw a black dot.