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Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C= Find values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no points of inflection.) X = Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "T", "]" depending on whether the interval is open or closed. Enter Øif the interval is empty.) XE Determine the interval on which f is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.)

Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C= Find values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no points of inflection.) X = Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "T", "]" depending on whether the interval is open or closed. Enter Øif the interval is empty.) XE Determine the interval on which f is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "I", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.)

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no points of inflection.) X = Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.) XE Determine the interval on which is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.)
Transcribed Image Text:Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find the critical points c that correspond to local maxima. (Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list. Enter DNE if there are no critical points.) C = Find values at which the points of inflection occur. (Use symbolic notation and fractions where needed. Give your answer as a comma separated list. Enter DNE if there are no points of inflection.) X = Determine the interval on which f is concave up. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.) XE Determine the interval on which is concave down. (Use symbolic notation and fractions where needed. Give your answer as interval in the form (*, *). Use the symbol ∞o for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", "]" depending on whether the interval is open or closed. Enter Ø if the interval is empty.)
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