SOLUTION: Given that the function f(x)= x/8 + 3/2x (i) Determine the turning points of the graph (ii) Determine the nature of the stationary points (iii) Hence sketch the graph.

Question 1187848: Given that the function f(x)= x/8 + 3/2x
(i) Determine the turning points of the graph
(ii) Determine the nature of the stationary points
(iii) Hence sketch the graph.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising).
(i)
to find them, derivate
'
equal to zero and solve for

.........cross multiply

=±
solutions:
or

substitute in

turning points are at:
(, )
(, )
(ii) Determine the nature of the stationary points
(, )->Minimum
(, )->Maximum
(iii)

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