Which value can fill in the blank in the function f (x) = ___|x| to make its graph wider than that of tge parent function f (x) = |x|

This piecewise function is equivalent to:

f (x) = a.|x|.

The greater the coefficient "a" the narrower is the graph, and

the smaller the coefficient "a" the wider the graph

So if f (x) = |x|, then any coefficient smaller than 1 will widen the graph, like for instance:

f (x) = 1/4|x|

f (x) = 0.8|x|

f (x) = 1/10|x|, etc.