Use the a, b, and c-sliders to graph the function.f(x)= (x-1)/(x^2-4x+3) (a=-1, b=-4,c=3) . Note that the denominator factors to (xminus−3)(xminus−1). Complete parts 1 and 2 below.
Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed.
What are the coordinates of the hole in the graph?
1. The coordinates of the hole in the graph are (-1, 2).
2. The hole in the graph occurs at the x-value where the denominator of the function equals 0, which is x=3. At this point, the function is undefined, resulting in a hole in the graph.