Tewtor.ai

Here are four quick sketches that illustrate the end‑behavior rules for polynomials:

• Top‑left: even degree, positive leading coefficient ($f(x)=x^{2}$) → both ends go up.
• Top‑right: even degree, negative leading coefficient ($f(x)=-x^{2}$) → both ends go down.
• Bottom‑left: odd degree, positive leading coefficient ($f(x)=x^{3}$) → left end down, right end up.
• Bottom‑right: odd degree, negative leading coefficient ($f(x)=-x^{3}$) → left end up, right end down.

Feel free to let me know if you’d like a closer look at any one of them!