Determine if the following function is a polynomial or not. If it is, what is its degree? $g(x)=19x^9+\pi x^8+\frac57x$

Determine if the following function is a polynomial or not. If it is, what is its degree? $f\left(x\right)=x^{\frac35}-4x^2+19$

Determine the end behavior of the graph of the following polynomial function using the Leading Coefficient Test: $f(x)=2x^{4}+19x^{2}-3x-2$

Determine the end behavior of the graph of the following polynomial function using the Leading Coefficient Test: $f(x)=-29x^{4}-3x^{2}+5x+6$

Determine whether the given polynomial $f(x) = 5x^{5}-2x^{3}+1$ has a real zero between $-3$ and 2 by using the Intermediate Value Theorem.

Determine whether the given polynomial $f(x) = 12x^{3}-19x+17$ has a real zero between $-5$ and 0 by using the Intermediate Value Theorem.