Question

Check My Work? #willMEDAL&FAN

Answer 1

Here Is The Question

Answer 2

\[y=-x^4+2x^3+3x^2-6x+12\]

Its degree is 6

Answer 3

What I have above is my answer..

Answer 4

@jdoe0001 check my work?

Answer 5

\(y=-x^{\color{brown}{ 4}}+2x^3+3x^2-6x+12\impliedby
\begin{array}{llll}
\textit{standard form}\\
{\color{brown}{ 4}}th\ degree\\

\end{array}\)

behaviour wise, it's a quartic, and they move like a parabola, but they have more than 1 "hump"

notice, leading term coefficient is, negative
that means is "upside-down"

so http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiIteF40KzJ4XjMrM3heMi02eCsxMiIsImNvbG9yIjoiI0Q2MEQwRCJ9LHsidHlwZSI6MTAwMCwid2luZG93IjpbIi0zMS44NTI3MjIxNjc5Njg3MzYiLCIzMC4xMzYxMDgzOTg0Mzc0ODYiLCItMTIuOTY5OTcwNzAzMTI0OTk1IiwiMjUuMTc3MDAxOTUzMTI0OTkzIl19XQ--

there's the behaviour :)

goes to \(\large -\infty\)