Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the points of inflection. f(x) = 16x² + x4 Provide solutions in the form (*, *). Use the symbol co 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. Use exact values for all responses. f is concave up when x E Resour f is concave down when x E

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the points of inflection.
f(x) = 16x² + x4
Resources
Provide solutions in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of
parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Øif the interval is empty.
Use exact values for all responses.
f is concave up when x E
is concave down when xe
Question Source: Rogawski 4e Calculus Ea
Transcribed Image Text:Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the points of inflection. f(x) = 16x² + x4 Resources Provide solutions in the form (*, *). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]", depending on whether the interval is open or closed. Enter Øif the interval is empty. Use exact values for all responses. f is concave up when x E is concave down when xe Question Source: Rogawski 4e Calculus Ea
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