Question

The function f is defined as follows for the domain given.

f(x) = 2x+2, domain = {-4,-2, 1,3}
Write the range of f using set notation. Then graph f.

Answer 1

range ={-6,-2,4,8}

Explanation:

The given function is

`f(x) = 2x + 2`

The domain is given as:

domain = {-4,-2, 1,3}

To find the range, we plug in the domain and solve for the corresponding range value.

When x=-4,

`f( - 4) =2 * - 4 + 2 = - 8 + 2 = - 6`

When x=-2,

`f( - 2) =2 * - 2+ 2 = - 4+ 2 = - 2`

When x=1,

`f( 1) =2 * 1 + 2 = 2 + 2 = 4`

When x=3,

`f( 3) =2 * 3 + 2 = 6 + 2 = 8`

Therefore the range is {-6,-2,4,8}