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) = (x² - 15) ex Provide intervals in the form (*, *). Use the symbol 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. Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points, enter DNE. Use exact values for all responses. f is concave up when x E f is concave down when x E points of inflection:

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 4ECP
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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) = (x² - 15) ex
Provide intervals in the form (*, *). Use the symbol ∞ 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.
Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points,
enter DNE.
Use exact values for all responses.
f is concave up when x E
f is concave down when x E
points of inflection:
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) = (x² - 15) ex Provide intervals in the form (*, *). Use the symbol ∞ 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. Provide points of inflection as a comma-separated list of (x, y) ordered pairs. If the function does not have any inflection points, enter DNE. Use exact values for all responses. f is concave up when x E f is concave down when x E points of inflection:
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