Given a function y = (6x2x4)/9. Investigate its behaviour and make a rough drawing of the graph.
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Solution
The maximum of the curve occurs at (−√3,1),(√3,1) The curve has point of inflection at (0,0).The value of y decreases with increase in the magnitude of x in interval x∈(−∞,−√3)∪(√3,∞)