Question

Consider the leading term of the polynomial function. What is the end behavior of the graph?
-3x5 + 9x4 + 5x3 + 3
a. The leading term is -3x5. Since n is odd and a is negative the end behavior is up and up
b. The leading term is -3x5. Since n is odd and a is negative the end behavior is down and down
c. The leading term is -3x5. Since n is odd and a is negative the end behavior is up and down
d. The leading term is -3x5. Since n is odd and a is negative the end behavior is down and up

Answer 1

I really wasn't taught this information and it's the last question on my homework. I checked my textbook and none of this was in the chapters we're on. I'm really not sure how to answer this.

Answer 2

have you learn end behaviors of odd and even functions?

Answer 3

No, it's supposed to be in the next chapter but they haven't given us access to that textbook yet.

Answer 4

I looked it up online to see if I could figure it out but it didn't really make sense to me

Answer 5

alright, to analyze end behaviors, you need to look at the leading term, which is
-3x^5

is this term positive or negative?

Answer 6

negative

Answer 7

good, now let's look at the power of x. Is the power odd or even?

Answer 8

x to the power of 5

Answer 9

it's odd

Answer 10

good, then this is a negative, odd function

Answer 11

now let us look at the general end behavior of this type of function.

Answer 12

That makes sense

Answer 13

Okay

Answer 14

these two are odd function graphs.
Look at the right that says "with a negative leading coefficient"
http://www.purplemath.com/modules/polys/ends06.gif

Answer 15

Let me rephrase, does the graph start from top or bottom?

Answer 16

The link isn't working

Answer 17

Lemme up load a pic

Answer 18

okay thank you

Answer 19

Refer to the attached plot.

Answer 20

this is the graph of odd function. Look at the right side that says "with the negative coefficient"

Answer 21

does the right graph starts from top or bottom?

Answer 22

the top

Answer 23

good top means "up".

Now let's look at the end of the graph,
does it end at the top or bottom?

Answer 24

far far end of the graph

Answer 25

it ends at the bottom

Answer 26

great, bottom means down

Answer 27

so the end behavior starts up then down

Answer 28

Would this mean my answer is C?

Answer 29

If it does I'm pretty sure it makes sense

Answer 30

yes, correct! :)

Answer 31

Thank you so much for your time and help!!

Answer 32

and I'll give you the link to the page of the image. It includes even and odd functions graphs. Very helpful :)

http://www.purplemath.com/modules/polyends.htm

Answer 33

I'm glad you actually helped me with it instead of just giving me an answer I really appreciated it

Answer 34

even function just means the power of x is even.

for example: x^2, x^4, x^6 x^8 , or x^10

Answer 35

I think getting the answer right is not as important as understanding concepts. You did a great job too :)

Answer 36

That makes sense, I understand.

Answer 37

Thank you!

Answer 38

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