Question 75652
When you say f(x)= some polynomial it will be in x form. When you say f(0), you are replacing every x you have with 0. So for f(-3) it will look like:
{{{f(x) = -x^3 -3x^2- 2x- 6}}}
{{{f(-3) = -(-3)^3 -3(-3)^2- 2(-3)- 6}}}
{{{f(-3) = -(-27) -3(9)- 2(-3)- 6}}}
{{{f(-3) = 27 -27 + 6- 6}}}
{{{f(-3) = 0}}}




f(0) will look like:
{{{f(0) = -(0)^3 -3(0)^2- 2(0)- 6}}}
{{{f(0) = 0-0- 0- 6}}}
{{{f(0) =- 6}}}




and f(3) looks like:
{{{f(3) = -(3)^3 -3(3)^2- 2(3)- 6}}}
{{{f(3) = -(27) -3(9)- 2(3)- 6}}}
{{{f(3) = -27 -27 - 6- 6}}}
{{{f(3) = -66}}}

If you graphed this function you will see this points visually.
{{{ graph( 300, 200, -6, 5, -10, 10, -x^3 -3x^2- 2x- 6) }}} Here's the graph of {{{y=-x^3 -3x^2- 2x- 6}}} where you can see (-3,0) and (0,-6) and (3,-66) is somewhere way off the page.