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2.) g(x) = 4√x − x2 2f.) Label each critical value as a local maximum or...

2.) g(x) = 4√x − x²

2f.) Label each critical value as a local maximum or minimum. Show Work.

Local Maximum(s) at x = ____________ Local Minimum(s) at x = ____________

2g.) Determine the intervals in which y=g(x) is increasing/decreasing

g(x) increasing: ____________ g(x) decreasing: _

2h.) Determine the intervals in which y=f(x) is concave up/concave down.

g(x) concave up: ____________ g(x) concave down: ____________

2i.) Find the point(s) of inflection

Point(s) of Inflection at x = ______

2j.) lim x→∞ g(x) = _______

2k.) lim x→−∞ g(x) = _______

2l.) Use everything you determined in #2a-k to draw a nice graph. (Draw your own axes)

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milcah answered 2 years ago

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