Question

Find the range of the function f(x) = 4x - 1 for the domain (-1,0, 1, 2, 3}.

Answer 1

{-5,-1,3,7,11}

Explanation:

The range is the output of the function

We have the inputs

f(x) = 4x - 1

f(-1) = 4(-1)-1 = -4-1 = -5

f(0) = 4(0)-1 = 0-1 = -1

f(1) = 4(1)-1 = 4-1 = 3

f(2) = 4(2)-1 = 8-1 = 7

f(3) = 4(3)-1 = 12-1 = 11

The outputs for the given inputs are

{-5,-1,3,7,11}

Answer 2

For this case we have a fucnion of the form
`y = f (x)`

Where:

`f (x) = 4x-1`

By definition, the rank of a function is given by:

The set of the real values that the variable y or f (x) takes.

So:

`f (-1) = 4 (-1) -1 = -4-1 = -5\\f (0) = 4 (0) -1 = 0-1 = -1\\f (1) = 4 (1) -1 = 4-1 = 3\\f (2) = 4 (2) -1 = 8-1 = 7\\f (3) = 4 (3) -1 = 12-1 = 11`

ANswer:

The range is: -5, -1,3,7,11