Task 3—graphing rational functions create a rational function with a linear binomial in both the numerator and denominator. -part 1. graph your function using technology. include the horizontal and vertical asymptotes and the x- and y-intercepts on your graph. label the asymptotes and intercepts. -part 2. show all work to identify the vertical asymptote, the x-intercepts, and the y-intercept.

Construct a simple function f(x) = (x+1) / (x-1);

Vertical asymptote: setting the denominator to 0 we get
x - 1 = 0 => x = -1

Horizontal asymptote: since the numerator and denominator have the same degree, simply divide the coefficients of the highest terms, which is 1, implies there's a asymptote at y = 1;

x-intersection: set f(x) to 0 => f(x) = 0 => x = -1;

y-intersection: set x to 0 => f(0) = -1 / 1 = -1;