Analyzing function behavior

1103163607

Level: 
A
The graph of f′ is given in the figure. Find the local extrema of f. (The function f′ is the derivative of the function f.)
local minima at x1=−1 and x2=4, local maximum at x=1
local minimum at x=3, local maximum at x=0
local minimum at x=−1, local maximum at x=4
local minima at x1=−1 and x2=1, local maximum at x=4
local minimum at x=1, local maxima at x1=−1 and x2=4

1103163608

Level: 
A
The graph of f′ is given in the figure. Find the local extrema of f. (The function f′ is the derivative of the function f.)
local minimum at x=3
local minimum at x=2, local maximum at x=0
local minimum at x=3, local maximum at x=0
local minimum at x=0, local maximum at x=3
local maximum at x=3

1103163609

Level: 
A
The graph of f′ is given in the figure. Find the local extrema of f. (The function f′ is the derivative of the function f.)
local maximum at x=0
local minimum at x=3, local maximum at x=0
local minimum at x=1, local maximum at x=3
local minimum at x=0, local maximum at x=3
local minimum at x=0

2010012505

Level: 
A
Identify a true statement about the function f(x)=−34x4+2x3.
The function f has a local maximum at x=2.
The function f has a local minimum at x=0.
The function f has two local extrema. These extrema are at x=0 and x=2.
The function f has neither local minimum nor local maximum.