The directions say to sketch a graph of f and find the domain and range of f.

Step 1

Graph the parabola (y = x² - 5) ONLY between the coordinatinates of -3 and 2

Note: it is equal to -3 so that will have a filled in dot and it is not equal to 2 so that will have an open dot.

x | y

-3 | 4 (remember to color in the dot!)

-2 | -1

-1 | -4

0 | -5

1 | -4

2 | -1 (remember that this is an open dot!)

Now connect the dots.

Step 2

Graph the line (y = x - 3) ONLY from 2 to infinity

Note: it is equal to 2 so that will have a filled in dot

x | y

2 | -1 (remember to color in the dot!)

3 | 0

4 | 1

5 | 2

this goes to infinity so continue the line with an arrowhead

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.