If y = 3x - 4 and the domain is {-3,-1,4}, Find the range.

Solution:

The domain values are input values to a function. In the given problem the function under consideration is:

y = 3x - 4

The input values are {-3, -1, 4}.

The range of a function are the output values as a consequence of the input values. To determine the range of the function y = 3x -4 we have to observe the output for each input value:

When x = -3

y = 3(-3) - 4 = -9 - 4 = -13

When x = -1

y = 3(-1) -4  = -3 -4 = -7

When x = 4 

y = 3(4) - 4 = 12 - 4 = 8

Hence the range of the function y = 3x - 4 is equal to

Range = {-13, -7, 8}

If y = 3x - 4 and the domain is {-3,-1,4}, Find the range.

Summary:

The range of the function y = 3x -4 when  domain is  {-3,-1,4}, is {-13, -7, 8}.