Question 15: Let the function y=f(x) have the graph as shown below. How many extreme points does the graph of the function\(h(x)=f(|x|)+2018\) have?

From the graph of the function y=f(x) deduce the graph of the function \(y=f(|x|)\) by keeping the graph to the right of the Oy axis, removing the part of the graph to the left of the Oy axis, and symmetrizing the graph on the right of the y axis through Oy.

Then the function \(y=f(|x|)\)has 5 extreme points.

so the graph of the function \(h(x)=f(|x|)+2018\) has 5 extrema (because translation does not change the number of extrema)

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