Consider the function f ( x ) = x 4 ? 2 x 2 ? 3 .
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Question:
Consider the function f ( x ) = x 4 ? 2 x 2 ? 3 . Answer each of the following questions:
- What is the domain of f ( x )? Use interval notation.
- What are the critical values (x-coordinates) of f, if they exist?
- For what intervals of x is the function increasing/decreasing? Use interval notation.
- Find and categorize all extrema and identify the x-values at which they occur.
- Does f have any inflection points? If so, state their ( x , y ) coordinates.
- Determine where f ( x ) is concave up and concave down. Use interval notation.
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