Human cloning is a benchmark for public policy, and the legislative decisions made regarding it will significantly impact the future of many areas of scientific research. This appeal will also likely be heard in the coming debates over artificial intelligence, germ-line therapy, transgenics, etc.
Vertical and horizontal asymptotes vertical and oblique asymptotes vertical and horizontal asymptotes How to find asymptotes Vertical: 1. Reduce f(x) to the lowest terms: (i) factor completely the numerator and the denominator; (ii) cancel common factors 2. Solve the equation: denominator = 0 3.ertical and horizontal asymptotes vertical and oblique asymptotes vertical and horizontal asymptotes How to find asymptotes Vertical: 1. Reduce f(x) to the lowest terms: (i) factor completely the numerator and the denominator; (ii) cancel common factors 2. Solve the equation: denominator = 0 3.
x 2 4.Solution. The vertical asymptotes will occur at those values of x for which the denominatoris equal to zero:x 2 4 = 0x 2 = 4x = 2Thus, the graph will have vertical asymptotes at x = 2 and x = 2.To nd the horizontal asymptote, we note that the degree of the numerator is one and thedegree of the denominator is two.ince the larger degree occurs in the denominator, thegraph will have a horizontal asymptote at y = 0 (i.e., the x-axis).The graph of f(x) =3x+ 1x 2 4is given below:Notice the graph shows the following limits:1. lim x! 2 f(x) = 12. lim x! 2 + f(x) = 13.