Question

What is the graph of the function f(x) = the quantity of 3 x squared plus 2 x plus 10, all over x plus 3

A) a graph is shown with a vertical asymptote at x = -3 increasing from negative infinity to just under -35 and then decreasing back to negative infinity as well as decreasing to just under five and increasing to infinity
B) graph with vertical asymptote of x equals 3, and oblique asymptote of y equals x minus 1
C) graph with vertical asymptote of x equals 3, and oblique asymptote of y equals negative x minus 1
D) graph with vertical asymptote of x equals negative 3, and oblique asymptote of y equals negative x minus 1

Answer 1

I think the correct answer would be the first option. The graph of the function  f(x) = the quantity of 3 x squared plus 2 x plus 10, all over x plus 3 would be a graph that is showing  a vertical asymptote at x = -3 increasing from negative infinity to just under -35 and then decreasing back to negative infinity as well as decreasing to just under five and increasing to infinity. The graph intersects the y-axis at one point which is at y = 3.33333. It would be best if you graph the function by using a software as you will see the real structure of the plot.