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A function fhas average rates of change as shown in the table. -2 to -1 0 to 1 1 to 2 -1 to 0 -1.4 -0.2 -3.7 -10.1 x interval Average rate of change of f What do the average rates of change seem to indicate about whether f(x) is increasing or decreasing between -2 and 2? Very briefly, explain. What do the average rates of change seem to indicate about the concavity of f(x) between-2 and 2? Very briefly, explain. L

A function fhas average rates of change as shown in the table. -2 to -1 0 to 1 1 to 2 -1 to 0 -1.4 -0.2 -3.7 -10.1 x interval Average rate of change of f What do the average rates of change seem to indicate about whether f(x) is increasing or decreasing between -2 and 2? Very briefly, explain. What do the average rates of change seem to indicate about the concavity of f(x) between-2 and 2? Very briefly, explain. L

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A function fhas average rates of change as shown in the table. -2 to -1 -1 to 0 0 to 1 1 to 2 -0.2 -1.4 -3.7 -10.1 x interval Average rate of change of f iffinity What do the average rates of change seem to indicate about whether f(x) is increasing or decreasing between -2 and 2? Very briefly, explain. What do the average rates of change seem to indicate about the concavity of f(x) between-2 and 2? Very briefly, explain.
Transcribed Image Text:A function fhas average rates of change as shown in the table. -2 to -1 -1 to 0 0 to 1 1 to 2 -0.2 -1.4 -3.7 -10.1 x interval Average rate of change of f iffinity What do the average rates of change seem to indicate about whether f(x) is increasing or decreasing between -2 and 2? Very briefly, explain. What do the average rates of change seem to indicate about the concavity of f(x) between-2 and 2? Very briefly, explain.
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