Question

The graph below shows two polynomial functions, f(x) and g(x):

Which of the following statements is true about the graph above?

f(x) is an even degree polynomial with a positive leading coefficient.
g(x) is an even degree polynomial with a positive leading coefficient.
f(x) is an odd degree polynomial with a negative leading coefficient.
g(x) is an odd degree polynomial with a negative leading coefficient.

Answer 1

The first statement is true.

Explanation:

The first statement is true: f(x) is the graph of a trinomial of even degree 2 and a positive leading coefficient.

The second statement is not true. It is a polynomial of degree 3.

The third statement is untrue ( it is of even degree).

The last statement is untrue - it has a positive leading coefficient.

Answer 2

f(x) is an even degree polynomial with a positive leading coefficient.

Explanation:

both sides of f(x) are pointed in the same direction so its an even degree and the leading coefficient is pointed up so its positive