One glance at the graphs should be enuf to tell you that one (the red one) is the graph of a parabola with positive leading coeff. and that the other is the gaph of an odd function which here happens to be y = x^3, also with a pos. lead. coeff.
The answer is '<span>f(x) is an odd degree polynomial with a positive leading coefficient'.
An odd degree polynomial with a positive leading coefficient will have the graph go towards negative infinity as x goes towards negative infinity, and go towards infinity as x goes towards infinity. An even degree polynomial with a negative leading coefficient will have the graph go towards infinity as x goes toward negative infinity, and go towards negative infinity as x goes toward infinity. g(x) would have a a positive leading coefficient with an even degree, as the graph goes towards infinity as x goes towards either negative or positive infinity. </span>
