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3. Graph the function. Then determine critical values, inflection points, interval(s) over which the function is increasing or decreasing, and the concavity. f(x) = frac{2}{3}e^{-x} Choose the correct sketch of the given function A. B. C. List the critical values of f(x). Select the correct choice below and fill in any answer boxes within your choice. A. ___ (Use a comma to separate answers as needed.) B. There are no critical values. List the inflection points of f(x). Select the correct choice below and fill in any answer boxes within your choice. A. _ (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no inflection points. Over what interval(s) is the function increasing? Select the correct choice below and fill in any answer boxes within your choice. A. _ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing. Over what interval(s) is the function decreasing? Select the correct choice below and fill in any answer boxes within your choice. A. _ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never decreasing. Over what interval(s) is the function concave up? Select the correct choice below and fill in any answer boxes within your choice. A. _ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never concave up. Over what interval(s) is the function concave down? Select the correct choice below and fill in any answer boxes within your choice. A. ___ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never concave down.

          3. Graph the function. Then determine critical values, inflection points, interval(s) over which the function is increasing or decreasing, and the concavity.
f(x) = frac{2}{3}e^{-x}
Choose the correct sketch of the given function
A.
B.
C.
List the critical values of f(x). Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Use a comma to separate answers as needed.)
B. There are no critical values.
List the inflection points of f(x). Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Type an ordered pair. Use a comma to separate answers as needed.)
B. There are no inflection points.
Over what interval(s) is the function increasing? Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never increasing.
Over what interval(s) is the function decreasing? Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never decreasing.
Over what interval(s) is the function concave up? Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never concave up.
Over what interval(s) is the function concave down? Select the correct choice below and fill in any answer boxes within your choice.
A. _______ (Type your answer in interval notation. Use a comma to separate answers as needed.)
B. The function is never concave down.

$3. Graph the function. Then determine critical values, inflection points, interval(s) over which the function is increasing or decreasing, and the concavity. f(x) = frac23e^-x Choose the correct sketch of the given function A. B. C. List the critical values of f(x). Select the correct choice below and fill in any answer boxes within your choice. A. (Use a comma to separate answers as needed.) B. There are no critical values. List the inflection points of f(x). Select the correct choice below and fill in any answer boxes within your choice. A. (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no inflection points. Over what interval(s) is the function increasing? Select the correct choice below and fill in any answer boxes within your choice. A. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing. Over what interval(s) is the function decreasing? Select the correct choice below and fill in any answer boxes within your choice. A. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never decreasing. Over what interval(s) is the function concave up? Select the correct choice below and fill in any answer boxes within your choice. A. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never concave up. Over what interval(s) is the function concave down? Select the correct choice below and fill in any answer boxes within your choice. A. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never concave down.$

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