Question

Christi needs your help on the last question of her math homework. The question reads, "How can key features be used to create a sketch of any polynomial function?"

Explain to Christi, in complete sentences, what key features are necessary and how they can be used to create the sketch of a polynomial function.
I don't know how to do this one, will someone help me please? @nincompoop

Answer 1

@jim_thompson5910

Answer 2

what key features come to mind? If any

Answer 3

Smooth lines and no sharp corners

Answer 4

turning points are where they increase or decrease direction

Answer 5

how it behaves for x<<0 and x>>0,
large negative and positive values of x, and how many zeroes it has @jim_thompson5910

Answer 6

good, the roots are usually one key feature to pay attention to

Answer 7

also, its behavior as x gets really large in either direction is another key feature

and it's turning points as well

http://msloclass.wikispaces.com/file/view/1.2+Characteristics+of+Polynomial+Functions.pdf

see page 5 of the pdf

Answer 8

oh ok so the answer would be what? @jim_thompson5910

Answer 9

Did you read the portion in the PDF I pointed to?

Answer 10

http://hotmath.com/hotmath_help/topics/graphing-polynomial-functions.html

Answer 11

this website shows steps in sketching polynomial functions (which also have characteristics for them)

Answer 12

@jim_thompson5910 I have no idea how to do this one word problem out of many I just need the answer please

Answer 13

A polynomial equation is like ax^3 + bx^2 + c = 0
Significant features include how it behaves for x<<0 and x>>0,
large negative and positive values of x, and how many zeroes it has, which is how many times it crosses the x axis (y=0) and where the zeroes are. The degree of the polynomial is the largest exponent, here 3, and this tells you that there are up to 3 unique zeroes.

Answer 14

please @yingpeng reword that for me

Answer 15

ok

Answer 16

A polynomial mathematical statement is similar to ax^3 + bx^2 + c = 0

Highlights incorporate how it acts for x<<0 and x>>0,

Estimations of x and what number of zeroes it has. This means how often it crosses the x pivot (y=0) and where the zeroes are.

The level of the polynomial is the biggest example, using 3 it lets you know that it would be dependent upon 3 special zeroes.

Answer 17

I am confused as well xD

Answer 18

the last 3 statements are characteristics on graphing polynomial fucntions

Answer 19

Sorry, I hope this helps you a little as I am only in grade 6. I might not be the most valid source, maybe someone else can help you on this problem.