Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1

Step-by-step explanation:

In the figure attached, the question is shown. The function:

has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.

The roots of x² + 3x - 4 are -4 and 1

Then, x² + 3x - 4 = (x + 4)(x - 1)

The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.

The function can be simplified as follows:

Then, it has a removable discontinuity at x = 1