Math  /  Algebra

QuestionDefine a piecewise function for letter weight xx (0<x3.50<x \leq 3.5) and sketch its graph. P(x)=xP(x)=x for all intervals.

Studdy Solution
Since the function is defined only for 0<x3.50<x \leq3.5, we need to indicate this on the graph. We do this by putting a small circle at the point (0,0)(0,0) to show that this point is not included in the graph, and a filled circle at the point (3.5,3.5)(3.5,3.5) to show that this point is included in the graph.
The graph of the function (x)=x(x) = x for 0<x3.50<x \leq3.5 is a straight line passing through the points (1,1)(1,1) and (3.5,3.5)(3.5,3.5), with a small circle at the point (0,0)(0,0) and a filled circle at the point (3.5,3.5)(3.5,3.5).

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