Question

If x is an even number, the function f(x) = 2x − 1 gives an odd number. Identify the set of odd numbers corresponding to this set of even numbers: {0, 2, 4, 6, 8}.

Answer 1

f(x) = 2x − 1, {0, 2, 4, 6, 8}

f(0) = 2*0 − 1 = 0 - 1 = -1
f(2) = 2*2 − 1 = 4 - 1 = 3
f(4) = 2*4 − 1 = 8 - 1 = 7
f(6) = 2*6 − 1= 12 - 1 = 11
f(8) = 2*8 − 1= 16 - 1 = 15
{-1, 3, 7, 11, 15}