PLEASE HELP WILL FAN AND MEDAL
Write each polynomial function in standard form, classify it by degree, and determine the end behavior of its graph. Show all work.
a. y=12-x^4
b. y=2x^3-6x+3x^2-x^4+12
c. y=10-3x^3+3x^2+x^4
They're parts a, b, c, not answers
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OpenStudy (love_to_love_you):
@ganeshie8
OpenStudy (micahm):
is this from a test
OpenStudy (love_to_love_you):
no @micahm
ganeshie8 (ganeshie8):
\[\large y=12-x^4\]
Write the terms in decreasing exponents for standard form :
\[\large y=-x^4+12\]
OpenStudy (anonymous):
what point r u tring to make
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ganeshie8 (ganeshie8):
do you know how to find degree of polynomial ?
OpenStudy (love_to_love_you):
Hold on I think I got it
OpenStudy (love_to_love_you):
-x^4+12
quartic binomial
down and down
??
ganeshie8 (ganeshie8):
Perfect!
OpenStudy (love_to_love_you):
Yay! I think I got it then! Can you check the other two real quick?
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OpenStudy (love_to_love_you):
b. y=-x^4+2x^3+3x^2-6+12; down and down; quartic polynomial
ganeshie8 (ganeshie8):
Yes you got it!
OpenStudy (love_to_love_you):
c. y=x^4-3x^3+3x^2+10; up and up; quartic polynomial
ganeshie8 (ganeshie8):
\[\huge \color{red}{\checkmark}\]
OpenStudy (love_to_love_you):
Great! Thanks! Would you mind helping me with another?
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ganeshie8 (ganeshie8):
wil try ask..
OpenStudy (love_to_love_you):
A polynomial function P(x) has degree n. If n is even, is the number of turning points of the graph of P(x) even or odd? What can you say about the number of turning points if n is odd?