How do you find the degree, leading term, the leading coefficient, the constant term and the end behavior of #g(x)=3x^5-2x^2+x+1#?
End behavior: See below in blue
The degree is the sum of the exponents on all terms. Our exponents are
The leading term of a polynomial is just the term with the highest degree, and we see this is
The leading coefficient is just the number multiplying the highest degree term. The coefficient on
The constant term is just a term without a variable. In our case, the constant is
For end behavior, we want to consider what our function goes to as
In our polynomial
Our limits describe our limit behavior.
Hope this helps!