Answer: (B) top right graph
Step-by-step explanation:
First, determine what the coordinates are between x = -3 and x = 3. Remember, that a step function has a closed dot at the coordinate.
[tex]\begin {array}{c|l||c}\underline{x}&\underline{\quad[x]-2\quad }&\underline{Coordinate}\\ -3&-3-2=-5&(-3,-5)\\-2&-2-2=-4&(-2,-4)\\-1&-1-2=-3&(-1,-3)\\0&\ 0-2=-2&(0,-2)\\1&\ 1-2=-1&(1,-1)\\2&\ 2-2=0&(2,0)\\3&\ 3-2=1&(3,1)\\\end{array}[/tex]
The only graph that satisfies these coordinates is the top-right graph.
