Work Step by Step
Step 1. The leading term of the function is $x^6$, with a coefficient of $+1$ and an even power. Thus, we can identify its end behaviors as $x\to-\infty, y\to\infty$ and $x\to\infty, y\to\infty$. That is, the curve rises to the left and also rises to the right. Step 2. Based on the above result, we can match the function to graph (b).