Question 702055
The domain of functions are the x-values and the range of functions are the y-values. In this case, the domain are the values for x and the range are the values for f(x). (In basic algebra, y and f(x) are allowed to mean the same.) All we need to do is find the value for f(x) given the value for x.


f(x)=-x+22
f(-8)=-(-8)+22=8+22=30
f(-6)=-(-6)+22=6+22=28
f(4)=-(4)+22=-4+22=18
f(7)=-(7)+22=-7+22=15.


Again, we can write f(x) as y and the problem may look a little less complex. Of course whatever your teacher expects trumps what I say, so be mindful and disregard anything I have said that contradicts your teacher's beliefs. Now we must write the range values in a similar manner to the domain values we are given:


Since the domain is {-8,-6,4,7}, the range is {15, 18, 28, 30}.


It is popular to write the domain and range values from least to greatest (negative to positive from left to right). You could also look at this problem as an input/output table. If x is -8, then the value we get is 30. If x is -6, then y or f(-6) is 28, and so on.