Question

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

Answer 1

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

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

Answer 2

do you know what the graph of y=x^2 looks like

Answer 3

Even degree functions:
\(\Large\color{slate}{ y=ax^c... }\)
when \(\Large\color{slate}{ c }\) is an even number.
and when \(\Large\color{slate}{ a>0 }\)

Like: \(\Large\color{slate}{ y=x^2+4x-3 }\)
\(\Large\color{slate}{ y=5x^4-2x+1 }\)
\(\Large\color{slate}{ y=8x^4-2x+1 }\)
\(\Large\color{slate}{ y=8x^{20}-2x+1 }\)

all such even degree functions (when a is positive) will behave like this:


\(\Large\color{slate}{ y=ax^c... }\)
when \(\Large\color{slate}{ c }\) is an even number.
and when \(\Large\color{slate}{ a<0 }\)

Like: \(\Large\color{slate}{ y=-2x^2+4x-3 }\)
\(\Large\color{slate}{ y=-4x^4+2x+7 }\)
\(\Large\color{slate}{ y=-3x^8-6x+5 }\)
\(\Large\color{slate}{ y=-9x^{18}-2x-7 }\)

all such even degree functions (when a is negative) will behave like this: