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.

Question

Dana Oneal

Mathematics

29 December, 11:44

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.

+3

Answers (1)

Know the Answer?

Miles Clay · Answer 1

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