Question

Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.

1.11
1.9

Answer 1

Compute f(x)=x^3+6x^2+2x-11. Evaluating near 1.11 gives
f(1.111) ≈ -0.00074 and f(1.1125) ≈ 0.02783,
so the positive root is about 1.111..., which rounded to the nearest hundredth is 1.11.

So the correct choice is 1.11.