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

Answer:

Step-by-step 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 = $\frac{1\pm \sqrt{(-1)^2-4(1)(-5)}}{2(1)}$

   x = $\frac{1\pm \sqrt{21}}{2}$

   x = $\frac{1\pm 4.58}{2}$

   x = -1.79, 2.79

   x ≈ -1.8, 2.8