Question

analyze the graph of the following function.

r(x)= x^2+x-6
--------
x^2-x-2

Answer 1

r(x) = Y = x^2 + x - 6
C = -6 = -1(6) = -2(3).
Select the pair of factors whose sum = 1(B):
Y = (x-2)(x+3) = 0
Solution set: X = -2, and 3 = x-Intercepts.
Axis: x = Xv = -B/2A = -1/2. = h.
k = Yv = (1/2)^2 -1/2 - 6
k = -6.25.
V(h,k) = V(-0.5,-6.25)

The following points can be used for graphing:
(x,y).
(-3,0)
(-2,-4)
(-1,-6)
V(-0.5,-6.25)
(1,-4)
(2,0)
(3,6)

Answer 2

Correction:
Solution set: X = -3, and 2.