f(x) = (2) / (x^2-2x-3)
X & Y intercepts
Horizontal & Vertical Asymptote
The domain is the set of x-values which does not make the denominator zero. The polynomial x^2-2x-3 has zeros of 3 and -1. Hence the domain is (-infinity, -1) U (-1,3) U (3, +infinity). The range is all real numbers. x-intercept is the value of x when y is 0. there is no x-intercept. y-intercept is the value of y when x is zero. y-intercept is equal to -2/3. The vertical asymptotes are the zeros of the denominator, hence x = -1 and x = 3. There are no horizontal asymptote since there is no x term in the numerator.