Hello, acosta0809!

It's correct!

The second question is:

Is an increasing or a decreasing function? Find the first derivative (slope).

We have: .

Then: .

Since , then: . is always positive.

Therefore, is an increasing function.

If we look at the graph, it's obvious . . . Code:

. . . - |
. . . - | ..*.
. . . - | *::::::*.
. . . - | *::::::::::*..
. . . - |*::::::::::::::::*
. . . - |:::::::::::::::::| *
. . . - * - - - - - - - - + - - - - -
. . . - | a

As increases, the area under the curve increases.