Question

Select the graph and the description of the end behavior of f(x) = x3 + 2.

Answer 1

It's going to be (b). First off, the coefficient of the highest degree (exponent) is positive, thus it is increasing. Second, the degree is odd, so it starts facing downward and ends facing upward.

Answer 2

Thank you so much @RPguy

Answer 3

You're welcome! Also, I actually don't mean to say it is [always] increasing, because that's not necessarily true. I meant that a positive cubic function will start its graph from the bottom left quadrant.

Answer 4

Okay gottcha! Thanks @RPguy