Question

help me please will fan and medal (:

write each polynomial function in standard form, classify it by degree, and determine the end behavior.

5. y=12-x^2

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

Answer 1

ok so standard form is Ax+By=C

Answer 2

for the first on we are gonna put \[x^2\] first and then -y which will equal -12 it will look like this\[x^2-y=-12\]

Answer 3

the degree is 2. its a second degree polynomial because that is the highest exponent

Answer 4

for the second one the equation for standard form still applies, but since there are multiple xs you put them in order of decreasing degrees. so you will come out with this: \[x^4-3x^3+3x^2-y=-10\] this is a fourth degree polynomial because the highest exponent is 4

Answer 5

did all of that make sense?

Answer 6

oh wait end behavior, for polynomials with even end will have end behavior that is either both up if positive or both down if negative

Answer 7

for polynomials with odd degrees if it is positive it will start from the bottom and end up and if it is negative if will start from the top and end down

Answer 8

ok now i think i fully answered your question. did that all make sense?

Answer 9

omg yes (: thank you so much <3

Answer 10

no problem(: