[tex]f(x) = 2x^{3} + 14x^{2} + 13x + 6[/tex]
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.