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

Question

01-08-2017
Mathematics

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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

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Erythrosin17 Erythrosin17 · Answer 1 · 2017-08-12T04:42:55+02:00

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.