In: Math
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*