# Mathematics - Calculus - Curve Sketching

Sketch the graph of y = x^4/4 - 2x^2 + 1.

i) determine and show on your graph all relative minima, maxima, and points of inflection.

ii) find intervals where the graph is increasing, decreasing, concave up, and concave down.

iii) find the absolute maximum and absolute minimum values of y on the interval [-1,3].

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The solution file is attached.

Sketch the graph of y = x^4/4 - 2x^2 + 1.

i) determine and show on your graph all relative minima, maxima, and points of inflection.

ii) find intervals where the graph is increasing, decreasing, ...

#### Solution Summary

Complete, Neat and Step-by-step Solutions along with Graph are provided in the attached answer file.

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