Question

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

Graph of f(x) equals x squared minus 2 x plus 1. Graph of g(x) equals x cubed plus 1.
Which of the following statements is true about the graph above?
f(x) is an even degree polynomial with a negative leading coefficient.
g(x) is an even degree polynomial with a negative leading coefficient.
f(x) is an odd degree polynomial with a positive leading coefficient.
g(x) is an odd degree polynomial with a positive leading coefficient.

Answer 1

D

Explanation:

The only answer that is correct is D (took the test)

Answer 2

With the f(x) = x^2 - 2x + 1 there is an even degree polynomial as the highest degree here is 2 and there is a positive leading coefficient as the coefficient for the highest degree is considered to be 1. Therefore all statements for f(x) is false.

With g(x) = x^3 +1 there is an odd degree polynomial as x is raised to 3 and there is a positive leading coefficient as x^3 is multiplied to 1. Therefore only the fourth statement holds to be true