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1.) Suppose g(x) = x2− 3x. On the interval [0, 4], use calculus to identify x-coordinate...

1.) Suppose g(x) = x2− 3x.

On the interval [0, 4], use calculus to identify x-coordinate of each local / global minimum / maximum value of g(x).

2.) For the function f(x) = x 4 − x 3 + 7...

a.) Show that the critical points are at x = 0 and x = 3/4 (Plug these into the derivative, what you get should tell you that they are critical points).

b.) Identify all intervals where f(x) is increasing

c.) Identify all intervals where f(x) is decreasing.

d.) Identify all intervals where f(x) is concave up.

e.) Identify all intervals where f(x) is concave down.

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