Here is the graph in question
This is the graph of f' the derivative of f (not f)
(Note that this is a graph of f', not a graph of f.)
The question asks for:
At which of the marked values of x is
A. f(x) greatest?
B. f(x) least?
C. f'(x) greatest?
D. f'(x) least?
E. f''(x) greatest?
F. f''(x) least?
I found these answers:
A. x = 6 because if the graph is f', then as long as its positive, f is increasing
B x = 1 for the same reason as in A
C. x = 5 because since its the graph of f', we can just look for the absolute max in the shown interval
D. x = 3 because since its the graph of f', we can just look for the absolute min in the shown interval
E. x = 4 because if you imagine what the tangent line looks like at that point, it's the steepest and positive
F. x = 6 because if you imagine what the tangent line looks like at that point, it's the steepest and negative
However, according to my grading software, at least one of these answers is incorrect.
Have I overlooked something?
Your assistance is greatly appreciated!
This is the graph of f' the derivative of f (not f)
(Note that this is a graph of f', not a graph of f.)
The question asks for:
At which of the marked values of x is
A. f(x) greatest?
B. f(x) least?
C. f'(x) greatest?
D. f'(x) least?
E. f''(x) greatest?
F. f''(x) least?
I found these answers:
A. x = 6 because if the graph is f', then as long as its positive, f is increasing
B x = 1 for the same reason as in A
C. x = 5 because since its the graph of f', we can just look for the absolute max in the shown interval
D. x = 3 because since its the graph of f', we can just look for the absolute min in the shown interval
E. x = 4 because if you imagine what the tangent line looks like at that point, it's the steepest and positive
F. x = 6 because if you imagine what the tangent line looks like at that point, it's the steepest and negative
However, according to my grading software, at least one of these answers is incorrect.
Have I overlooked something?
Your assistance is greatly appreciated!
