Analyzing function behavior

9000079106

Level: 
A
Given function f(x)=xe1x, identify a true statement.
The local minimum of the function f is at the point x=1, the function does not have a local maximum.
The local maximum of the function f is at the point x=0, the local minimum at x=1.
The local maximum of the function f is at the point x=1, the function does not have a local minimum.
The function f has neither local minimum nor maximum.

9000145410

Level: 
A
Identify a true statement about the function f(x)=14x4−x3.
The local minimum of f is at x=3.
The function f has neither local minimum nor local maximum.
The function f has a local minimum at x=0.
The function f has two local extrema. These extrema are at x=3 and x=0.