Given the function P(x)=x(x−4)(x+5)\displaystyle {P}{\left({x}\right)}={x}{\left({x}-{4}\right)}{\left({x}+{5}\right)}, find

its y\displaystyle {y}-intercept:  

its x\displaystyle {x}-intercepts:  

When x→∞\displaystyle {x}\to\infty, y→\displaystyle {y}\to
When x→−∞\displaystyle {x}\to-\infty, y→\displaystyle {y}\to

Which of the following could be the graph of P(x)\displaystyle {P}{\left({x}\right)}?

License