Question

What is the end behavior of the graph of the polynomial function f(x) = 3x^6 + 30x^5 + 75x^4

Answer 1

for large values of x, this the highest degree takes over

Answer 2

what does an x^6 look like?

Answer 3

not sure... thats what im having trouble with

Answer 4

hmm, polynomials take one of 2 shapes; x^1 or x^2

Answer 5

all odd degrees act like x^1

all even degrees act like x^2

and you have to account for the sign of the coefficient of course