Question

A) Complete the table of values for y = x? – X-2

-3-2 -1 0 1 2 3
х
у
10
-2

Answer 1

Explanation:

a). Equation of the function drawn is,

y = x² - x - 2

Table for the input-output values,

x -3 -2 -1 0 1 2 3

y 10 4 0 -2 -2 0 4

From the table,

x-intercepts → (-1, 0) and (2, 0)

y- intercepts → (0, -2)

b). Out of 3 graphs blue graph represents the table.

(Graph passing through x = -1, 2)

c). x² - x - 2 = 3

x² - x - 5 = 0

By quadratic formula,

x =
`(1\pm √((-1)^2-4(1)(-5)))/(2(1))`

x =
`(1\pm √(21))/(2)`

x =
`(1\pm 4.58)/(2)`

x = -1.79, 2.79

x ≈ -1.8, 2.8