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

Graph of f of x equals x squared minus 2 x plus 1. Graph of g of 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

The graph below shows two polynomial functions, f(x) and g(x):

Graph of f of x equals x squared minus 2 x plus 1. Graph of g of 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.

anonymous · Answer

$f(x)=x^2-2x+1$ since there is no, leading coefficient written, because there is no number infront of $x^2$, the coefficient is 1, so it is positive. Also the degree of this function is 2 because it is $x^2$, so it is an even degree polynomial

anonymous · Answer

Now, $g(x)=x^3+1$ Again, since there is no term infront of $x^3$, the leading coefficent is 1 and it is positive. And since it is $x^3$ the degree is 3. The number 3 is odd, so it is an odd degree polynomial with a positive leading coefficient.

anonymous · Answer

So this is D?

anonymous · Answer

Yes it is

anonymous · Answer

Thanks.  Can you help me with some more?