SOLUTION: Hi I got a math exam review packet and don't understand this question! Please help 1. find the range of f(x)=-x+22 for the domain {-8,-6,4,7}

Question 702055: Hi I got a math exam review packet and don't understand this question! Please help
1. find the range of f(x)=-x+22 for the domain {-8,-6,4,7}
Found 2 solutions by RedemptiveMath, solver91311:
Answer by RedemptiveMath(80) (Show Source): You can put this solution on YOUR website!
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.

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Take each element of the domain set and substitute it into the function in place of. Do the arithmetic in each case. Take the four results and create the range set.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it

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