Question 50: Given a function y = f( x) that has a continuous derivative on R, a function y = f’ (x-2) has a graph of the function as shown in the figure below. The number of extreme points of the function y= f( x) is :
We have: f’ (x – 2) = f’ (x).(x-2)’ = f'(x)
Therefore; The graph of the function y = f’ (x) has the same shape as above.
The graph of the function y = f( x-2) has 3 extreme points if and only if the graph of the function y = f( x) also has 3 extreme points.