4. Polynomial Functions

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=4x^3+\(\frac\)12x^{-1}-2x+1$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=2+x$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=3x^2+5x+2$

Determine the end behavior of the given polynomial function. $f\(\left\)(x\(\right\))=x^2+4x+x+7x^3$