Question

`F(x) = (8-x)/(x^(2) -4 )`

What is the:
Domain:
Holes:
VA:
HA:
OA: Roots:
Y-Intercepts:

Answer 1

Explanation:

the given function is

`f(x)=(8-x)/(x^(2)-4 ) =(8-x)/((x-2)(x+2))`

We have to find is

Domain : (-∞,-2)∪(-2, 2)∪(2,∞)

Holes : No holes [ no common factors in numerator and denominator]

VA : x = -2 , 2 [for denominator (x-2) and (x+2) equal to 0]

HA : y = 0 [Degree of numerator is higher than denominator]

OA : No OA [ degree of numerator is higher than denominator]

Y-intercepts : (0, -2) [By putting x = 0 for the value of y]