https://padlet.com/22ms06441/z417m2sxwjgn By Misha Saveliev en-us 2017-12-14 01:21:27 UTC 2025-10-16 04:06:22 UTC hello@padlet.com 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216022513 - The degree of each term in a polynomial has to be a whole number greater than 0.
- The graph of the function has to be smooth (no sharp edges), continuous (domain has to be all real numbers).
- Being continuous means no asymtopes in the graph.
- The equation of a polynomial function cannot have an absolute value (sharp edges), cannot have variables in a denominator (asymtopes, domain will not be all real numbers).
- We can predict the end behavior (if the graph falls or rises infinitely on each side).
- When 2 is added to the degree, the graph gets wider. This is true with even or odd degrees.]]> 2017-12-14 01:23:46 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216022513 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216024825 If the polynomial is a function with terms that have varying degrees, the highest degree is defaulted to.

If the degree is even, and the coefficient is positive, then the graph will have both ends rising upwards, like in the graph of f(x)=x^2.

If the degree is even, and the coefficient is negative, then the graph will have both ends falling downwards, like in the graph of f(x)=-x^2, because the graph is reflected over the x axis.

If the degree is odd, and the coefficient is positive, then the graph will have the left end falling to negative infinity, and the right end rising to infinity, like in the graph of f(x)=x.

If the degree is odd, and the coefficient is negative, then the graph will have the left end rising, and the right end falling, like in the graph of f(x)=-x, because the graph is reflected over the x axis.

]]> 2017-12-14 01:45:37 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216024825 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216026321 Positive coefficient, even degree.]]> 2017-12-14 02:00:12 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216026321 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216026510 Negative coefficient, even degree.]]> 2017-12-14 02:01:29 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216026510 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216027700 Positive coefficient, odd degree.]]> 2017-12-14 02:14:32 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216027700 22ms06441 https://padlet.com/22ms06441/z417m2sxwjgn/wish/216027735 Negative coefficient, odd degree.]]> 2017-12-14 02:15:02 UTC https://padlet.com/22ms06441/z417m2sxwjgn/wish/216027735