Question

Consider the following: y = 3x2-6x+1 a.)  Find the interval(s) of increase. Find the interval(s) of decrease....

Consider the following: y = 3x2-6x+1

a.)  Find the interval(s) of increase. Find the interval(s) of decrease.

b.)  Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

c.) Find the interval(s) where the function is concave up. Find the interval(s) where the function is concave down. Find the inflection points. (If an answer does not exist, enter DNE.)

d.) Determine the end behavior of the graph.

e.) Use the information from parts (a)-(d) to sketch the graph. Check your work with a graphing device if you have one.

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