For y = 4x + 12x² - 12x, determine concavity and the x-values where points of inflection occur. Do not sketch the graph. *** On which interval(s) is the function concave down? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave down on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) OB. There is no interval on which the function is concave down. On which interval(s) is the function concave up? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave up on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) OB. There is no interval on which the function is concave up. a Determine the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The inflection point(s) occur at x = (Use a comma to separate answers as needed.) B. The given function has no inflection points.

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Chapter3: Functions
Section3.7: Inverse Functions
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For y = 4x + 12x² - 12x, determine concavity and the x-values where points of inflection occur. Do not sketch the graph.
***
On which interval(s) is the function concave down? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is concave down on
(Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
OB. There is no interval on which the function is concave down.
On which interval(s) is the function concave up? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The function is concave up on
(Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
OB. There is no interval on which the function is concave up.
a
Determine the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The inflection point(s) occur at x =
(Use a comma to separate answers as needed.)
B. The given function has no inflection points.
Transcribed Image Text:For y = 4x + 12x² - 12x, determine concavity and the x-values where points of inflection occur. Do not sketch the graph. *** On which interval(s) is the function concave down? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave down on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) OB. There is no interval on which the function is concave down. On which interval(s) is the function concave up? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is concave up on (Type your answer in interval notation. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) OB. There is no interval on which the function is concave up. a Determine the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The inflection point(s) occur at x = (Use a comma to separate answers as needed.) B. The given function has no inflection points.
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