1954 AMC 12 第 17 题

The constant $-7$ shifts the graph vertically but does not change its end behavior

A positive odd-degree leading term tends to $+\infty$ on the right and $-\infty$ on the left

The leading term $2x^3$ controls the end behavior. As $x$ tends to $+\infty,$ $f(x)$ tends to $+\infty;$ as $x$ tends to $-\infty,$ $f(x)$ tends to $-\infty.$ Thus the graph goes up to the right and down to the left.

The correct answer is A.