Write each polynomial function in standard form, classify it by degree, and determine the end behavior of its graph. Show all work.

1. y= 12-x^4

2. y= 2x^3-6x+3x^2-x^4+12

3. y= 10-3x^3+3x^2+x^4

Question

Write each polynomial function in standard form, classify it by degree, and determine the end behavior of its graph. Show all work.

1. y= 12-x^4

2. y= 2x^3-6x+3x^2-x^4+12

3. y= 10-3x^3+3x^2+x^4

love_to_love_you · Answer

Will fan and medal if you show all steps

danjs · Answer

What do you know how to do?
What is the standard form for a polynomial?

love_to_love_you · Answer

This is a new thing. I've never done it before so I just need to see the steps to understand. Explaining is harder for me, I know, weird but it's just the way my brain works.

anonymous · Answer

$$y= 12-x^4$$ i would say standard form is 
$$-x^4+12$$

anonymous · Answer

degree is 4

anonymous · Answer

since the leading coefficient is negative the "end behaviour" is  $$\lim_{x\to \infty}=\lim_{x\to -\infty}-x^4+12=-\infty$$