Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x-values at which the points of inflection occur. f(x) = x(x – 5v). x > 0 (Enter an exact answer. Use symbolic notațion and fractions where needed. Give your answer in the form of a comma separated list, if necessary. Enter DNE if there are no points of inflection.)

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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Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x-values at which the
points of inflection occur.
f(x) = x(x – 5/x),
x > (0
(Enter an exact answer. Use symbolic notațion and fractions where needed. Give your answer in the form of a comma separated
list, if necessary. Enter DNE if there are no points of inflection.)
Incorrect
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for
infinity, U for combining intervals, and an appropriate type of parenthesis "(". "D", "I", or "J", 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 graph of y = f(x) is concave up or concave down, and find the x-values at which the points of inflection occur. f(x) = x(x – 5/x), x > (0 (Enter an exact answer. Use symbolic notațion and fractions where needed. Give your answer in the form of a comma separated list, if necessary. Enter DNE if there are no points of inflection.) Incorrect (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol ∞ for infinity, U for combining intervals, and an appropriate type of parenthesis "(". "D", "I", or "J", depending on whether the interval is open or closed. Enter Ø if the interval is empty.)
(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.)
f is concave up when x E
Incorrect
f is concave down when x E
Incorrect
Transcribed Image Text:(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.) f is concave up when x E Incorrect f is concave down when x E Incorrect
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