Answer:
Step-by-step explanation:
Given function is
[tex]f(x)=\frac{(x-3)(x+1)}{(x+3)}[/tex]
Domain of the function: (-∞,-3)∪(-3,∞) x | x ≠ -3
Holes: none. No common factors in numerator and denominator
VA: x = -3 as denominator is (x+3)
HA: No horizontal asymptote because degree of the denominator is less than numerator
OA: Roots are x = 3, -1 [(x-3) and (x+1) are the factors]
Y-Intercept: (0, -1) (by putting x = 0 in the given function)