Given the function P(x)=x(x6)(x+8)\displaystyle {P}{\left({x}\right)}={x}{\left({x}-{6}\right)}{\left({x}+{8}\right)}, identify the following:

Vertical Intercept:
Written as an ordered pair.

Horizontal Intercepts:
Written as a list of ordered pairs separated by commas.

Identify the end behavior

When x\displaystyle {x}\to\infty, P(x)\displaystyle {P}{\left({x}\right)}\to  
When x\displaystyle {x}\to-\infty, P(x)\displaystyle {P}{\left({x}\right)}\to