The roots of the function f (x) = x2 - 2x - 3 are shown. What is the missing number?

see below

Step-by-step explanation:

f (x) = x^2 - 2x - 3

To find the roots, set the equation equal to zero

0 = x^2 - 2x - 3

Factor, what two numbers multiply to - 3 and add to - 2

-3 * 1 = - 3

-3 + 1 = - 2

0 = (x-3) (x+1)

Using the zero product property

x-3 = 0 x+1 = 0

x=3 x=-1