Please help with problems 1-5. Please show your work 1-5 so I can learn, thank you

1. Determine if the function f(x) = 4x5 - 3x3 + 2x - 1 is a polynomial function and, if so, give the degree and leading coefficient. 2. Determine if the function f(x) = 5*+1 - x2 is a polynomial function and, if so, give the degree and leading coefficient. 3. Determine if the function f(x) = x2(3 - 6 + x2) is a polynomial function and, if so, give the degree and leading coefficient. 4. Determine the end behavior of the polynomial function f(x) = 2x4 + 3x3 - 5x2 + 7. 5. Determine the end behavior of the polynomial function f(x) = 4x3 - 6x2 + 2