#### Answer

The function is concave up everywhere.

#### Work Step by Step

We calculate the derivatives:
$ f'(x)= 10x+4x^{3}$
$ f''(x)=10+12x^{2}$
For all $ x $, $ f''(x)>0$
This implies that the function is concave up everywhere.

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Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

The function is concave up everywhere.

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