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P.o.t.W. #3

■ No GDC ■for SL and HL studentstotal 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]- -

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