find the range of the functions?

Question

find the range of the function y=-3x+7 given the following domain: {-3,-1,1,3,5}
and
find the range of the function y=3x+5 given the following domain: {-3,-1,1,3,5}

Answer 1

just plug in each of the values in the domain into the given function, and that will give you the respective ranges:

-3 --> 16 because y=-3(-3)+7 y=16
-1 -->10 y=-3(-1)+7 y=10
1 --> 4 y=-3(1)+7 y= 4
etc...

and write them as a set {16, 10, 4...}

same thing for the second function



hope this helped =]

Answer 2

Basically you are plugging the domain numbers in for x and solving for y. The solutions are your range.

y=-3x+7
domain: {-3,-1,1,3,5}
range: {16, 10, 4, -2, -8}

y=3x+5
domain: {-3,-1,1,3,5}
range: {-4, 2, 8, 14, 20}

Answer 3

Since these are linear functions, you only need to substitute the lowest and highest values in the domain for (x) in the equation. That will give you the range.