Question 220083
The y-intercept is where a graph crosses (or intersects) the y-axis. Think about the points on the y-axis. Think about the coordinates of points on the y-axis. After some thought I hope it is obvious the all the points on the y-axis have an x-coordinate of 0. So to find the y-intercept of a function, use a value of 0 for x. IOW, f(0) is the y-intercept.<br>
{{{f(x) = (x^2-4x-5)/(x^2+2x+1)}}}
{{{f(0) = ((0)^2-4(0)-5)/((0)^2+2(0)+1) = (0 - 4(0) - 5)/(0 + 2(0) + 1) = (0 - 0 - 5)/(0 + 0 + 1) = (-5)/1 = -5}}}
So the y-intercept is (0, -5).