# P.o.t.W. #3

■ No GDC ■total marks: 12Consider the graph of $$g\left( x \right) = x\ln x$$ shown at right.(a) Write down the domain of g. [1 mark](b) Determine the range of g. [4 marks](c) Find the equation of the tangent to the graph of $$g$$ that passes through the point $$\left( {0, - \,c} \right)$$, where $$c > 0$$, and express it in terms of $$c$$. [7 marks]- -downloadable file: P.o.t.W. #3

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