I really need help, will medal + fan. Thank you!

Let a, b, and c be real numbers where a, b, and C aren't equal to 0. Which of the following functions could represent the graph below?

A. f(x) = x^2(x – a)^2(x – b)^4(x – c)
B. f(x) = x^3(x – a)^3(x – b)(x – c)^2
C. f(x) = x^4(x – a)(x – b)3(x – c)^3
D. f(x) = (x – a)^2(x – b)(x – c)^6

Question

I really need help, will medal + fan. Thank you!

Let a, b, and c be real numbers where a, b, and C aren't equal to 0. Which of the following functions could represent the graph below?

A. f(x) = x^2(x – a)^2(x – b)^4(x – c)
B. f(x) = x^3(x – a)^3(x – b)(x – c)^2
C. f(x) = x^4(x – a)(x – b)3(x – c)^3
D. f(x) = (x – a)^2(x – b)(x – c)^6

anonymous · Answer

attachment

anonymous · Answer

@PeachRings

p0sitr0n · Answer

i think you forgot some signs, unless theres no addition between the polynomials

anonymous · Answer

There is none.

p0sitr0n · Answer

ah kk good

anonymous · Answer

I don't know how to graph it in the form it's in.

anonymous · Answer

count the humps so we can see that this is a 7th order polynomial right?

anonymous · Answer

Yes, I can see the turning points lol.

anonymous · Answer

well not the humps  the number of times it changes direction so its 7th order lol and then you wanna make sure you have an x^7th when all is said and done

p0sitr0n · Answer

it will behave mostly as its biggest degree

anonymous · Answer

So, it would be D?