1.
State the domain and the range for the given relation.
Domain:
Range:

The domain is [-6,6] and the range is [0,6]

Step-by-step explanation:

Remember that the domain is your x-values from left to right and your range is your y-values from down to up.  Since the graph doesn't go outward or onward, we have to put in brackets for each parenthesis because it stops at a specific location in which it is needed when graphing parabolas and other slopes.

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a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.