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

Answer:

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

Step-by-step 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,

$f( - 4) =2 \times - 4 + 2 = - 8 + 2 = - 6$

When x=-2,

$f( - 2) =2 \times - 2+ 2 = - 4+ 2 = - 2$

When x=1,

$f( 1) =2 \times 1 + 2 = 2 + 2 = 4$

When x=3,

$f( 3) =2 \times 3 + 2 = 6 + 2 = 8$

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