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

step-by-step explanation:

through just a quick inspection, one can see that the graph of this cubing function starts in quadrant iii and ends in quadrant i.   when x = 0, y = 3, so the y-intercept is (0, 3).

if graphs are part of the problem statement, share them.   .

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step-by-step explanation: