In: Math
Consider the function below. (If an answer does not exist, enter DNE.)
f(x) =
1 |
2 |
x4 − 4x2 + 2
(a) Find the interval of increase. (Enter your answer using interval notation.)
(−2,0)∪(2,∞)
Find the interval of decrease. (Enter your answer using interval
notation.)
(−∞,−2)∪(0,2)
(b) Find the local minimum value(s). (Enter your answers as a
comma-separated list.)
DNE
Find the local maximum value(s). (Enter your answers as a
comma-separated list.)
2
(c) Find the inflection points.
(x, y) | = |
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(x, y) | = |
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Find the interval where the graph is concave upward. (Enter your
answer using interval notation.)
Find the interval where the graph is concave downward. (Enter your
answer using interval notation.)