Check answers to critical point, extrema questions

[tjohn101]

Homework Statement

If my answers to the questions in the attachments could be checked that would be great. All work is done, and the questions in the pictures are fairly quick and simple. I want to be sure I got them correct.

Thank you!

Homework Equations

The Attempt at a Solution

 

[LCKurtz]

Is it just me, or does everyone like those choices? When f(x) has an absolute minimum value on the interval $[0, \infty)$ of 2 when x = 1, I don't consider the answer to "find the absolute minimum for f(x)" of (1,2) to be correct. The answer should be 2.