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. $f\left(x\right)=4x^3+\frac12x^{-1}-2x+1$

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. $f\left(x\right)=x^2+4x+x+7x^3$

Determine which functions are polynomial functions. For those that are, identify the degree. $f\left(x\right)=5x^2+6x^3$

Determine which functions are polynomial functions. For those that are, identify the degree. $g\left(x\right)=7x^5-\pi x^3+\frac{1}{5}x$

Determine which functions are polynomial functions. For those that are, identify the degree. $h\left(x\right)=7x^3+2x^2+\frac{1}{x}$

Determine which functions are polynomial functions. For those that are, identify the degree. $f\left(x\right)=x^{\frac{1}{2}}-3x^2+5$