2. For the function : f(x) = x2 ? 30x ? 2 a) State where f...

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2. For the function : f(x) = x2 ? 30x ? 2

a) State where f is increasing and where f isdecreasing

b) Identify any local maximum or local minimum values.c) Describe where f is concave up or concave down d) Identify anypoints of inflection (in coordinate form)

3. For the function f (x)= x4 ? 50 2

a) Find the intervals where f is increasing and where fis decreasing.

b) Find any local extrema and state whether they are alocal max or a local min.

4. For the function: f(x) = x4 + 2x 3 ? 12x 2 ?24x

a) State the intervals where f is concave up and whereit is concave down

b) Find any points of inflection (in coordinateform).

5. For the function: f(x) = x4 + 5x 2

a) State the intervals where f is concave up and whereit is concave down

b) Find any points of inflection (in coordinateform).

*please show work*

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