Give the location of the x- and y-intercepts (if they exist), and discuss the behavior of the function (bounce or cross) at each x-intercept.

Question

Give the location of the x- and y-intercepts (if they exist), and discuss the behavior of the function (bounce or cross) at each x-intercept.

Answer 1

G(x) = (x+1)(x+6) / (x+√2)(x-√2)

The only x-intercept is at (-1,0) and (-6,0) obtained by setting the numerator to 0, they both cross.

The only y-intercept is at (0,-3) and it crosses.

The 2 asymptotes are x = ±√2