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Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = (x – 14)(1 – x³) (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in the form (*, *). Enter DNE if there are no points of inflection.) points of inflection: (x, y) = (0,–14),(7,2394) (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty.)

Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = (x – 14)(1 – x³) (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in the form (*, *). Enter DNE if there are no points of inflection.) points of inflection: (x, y) = (0,–14),(7,2394) (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = (x – 14)(1 – x³) (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in the form (*, *). Enter DNE if there are no points of inflection.) points of inflection: (x, y) = (0,–14),(7,2394) (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty.)
Transcribed Image Text:Determine the intervals on which the given function is concave up or concave down and find the points of inflection. f(x) = (x – 14)(1 – x³) (Use symbolic notation and fractions where needed. Give your answer as a comma separated list of points in the form in the form (*, *). Enter DNE if there are no points of inflection.) points of inflection: (x, y) = (0,–14),(7,2394) (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Ø if the interval is empty.)
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