Question

Complete the table of values for y= x^2-x-2

X = -3 -2 -1 0 1 2 3
Y = 10 -2

Answer 1

x = -3:
`y = 10`, x = -2:
`y = 4`, x = -1:
`y = 0`, x = 0:
`y = -2`, x = 1:
`y = -2`, x = 2:
`y = 0`, x = 3:
`y = 4`

Explanation:

Let
`y = x^(2)-x-2`, where
`x` and
`y` are the independent and dependent variables, respectively. The approach consists in evaluating the function at values presented in statement:

x = -3

`y = (-3)^(2)-(-3)-2`

`y = 10`

x = -2

`y = (-2)^(2)-(-2)-2`

`y = 4`

x = -1

`y = (-1)^(2)-(-1)-2`

`y = 0`

x = 0

`y = (0)^(2)-(0)-2`

`y = -2`

x = 1

`y = (1)^(2)-(1)-2`

`y = -2`

x = 2

`y = (2)^(2)-(2)-2`

`y = 0`

x = 3

`y = (3)^(2)-(3)-2`

`y = 4`