Let f(x)=8x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima).

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Chapter1: Functions And Models
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Let f(x)=8x^2−4x^4. Find the open intervals on which f is increasing (decreasing). Then, determine the x-coordinates of all relative maxima (minima).

1.   f is increasing on the intervals ?
2.   f is decreasing on the intervals ?
3.   The relative maxima of f occur at x = ?
4.   The relative minima of f occur at x = ?


Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma-separated list of intervals, such as (-inf, 2), (3,4), or the word "none".

In the last two, your answer should be a comma-separated list of x values or the word "none".

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