ermine the intervals on which the graph of y = f(x) is concave up or concave down, and find the x-values at which the nts of inflection occur. f(x) = x(x – 9/x), x > 0 ter an exact answer. Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated if necessary. Enter DNE if there are no points of inflection.) 729 64 e symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol co for nity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval pen or closed. Enter Ø if the interval is empty.) f is concave up when x E f is concave down when x E II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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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 – 9v),
x > 0
(Enter an exact answer. Use symbolic notation 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.)
729
X =
64
(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
f is concave down when x E
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 – 9v), x > 0 (Enter an exact answer. Use symbolic notation 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.) 729 X = 64 (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 f is concave down when x E
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