Question

Describe the graph of the function f(x) = 2x^3 +14x^2 +13x +6. Include the y-intercept, x-intercepts, and the shape of the graph.

Answer 1

$f(x) = 2x^{3} + 14x^{2} + 13x + 6$

The graph is attached below.

In order to find the y-intercept, check the graph and see where it hits the y-axis, so in this case the y-intercept would be  at (0,6).

To find the x-intercept, check the graph and see where it hits the x-axis, and here it hits at x = -6.