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Answer:
See below
Step-by-step explanation:
The given rational function is;
The given function is not continuous where the denominator is equal to zero.
The function is discontinuous at
b) The point at x=-2 is a removable discontinuity(hole) because (x+2) is common to both the numerator and the denominator.
The point at x=-4 and x=4 are non-removable discontinuities(vertical asymptotes)
c) The equation of the vertical asymptotes are x=-4 and x=4
To find the equation of the horizontal asymptote, we take limit to infinity.
The horizontal asymptote is y=0