6.
某学习小组在研究函数y=$\frac{1}{6}$x3-2x的图象与性质时,已列表、描点并画出了图象的一部分.
(1)请补全函数图象;
(2)方程$\frac{1}{6}$x3-2x=-2实数根的个数为3;
(3)观察图象,写出该函数的两条性质.
0 297365 297373 297379 297383 297389 297391 297395 297401 297403 297409 297415 297419 297421 297425 297431 297433 297439 297443 297445 297449 297451 297455 297457 297459 297460 297461 297463 297464 297465 297467 297469 297473 297475 297479 297481 297485 297491 297493 297499 297503 297505 297509 297515 297521 297523 297529 297533 297535 297541 297545 297551 297559 366461
| x | … | -4 | -3.5 | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 3.5 | 4 | … |
| y | … | -$\frac{8}{3}$ | -$\frac{7}{48}$ | $\frac{3}{2}$ | $\frac{8}{3}$ | $\frac{11}{6}$ | 0 | -$\frac{11}{6}$ | -$\frac{8}{3}$ | -$\frac{3}{2}$ | $\frac{7}{48}$ | $\frac{8}{3}$ | … |
(2)方程$\frac{1}{6}$x3-2x=-2实数根的个数为3;
(3)观察图象,写出该函数的两条性质.