Question

In: Math

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

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

a) State where f is increasing and where f is decreasing

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

3. For the function f (x)= x4 − 50 2

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

b) Find any local extrema and state whether they are a local 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 where it is concave down

b) Find any points of inflection (in coordinate form).

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

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

b) Find any points of inflection (in coordinate form).

*please show work*

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