Math Problem Statement
The function graphed above is decreasing on the interval
< x <
The inflection point is at x =
Solution
The graph shows a function with critical points, regions of increase and decrease, and a clear inflection point. Let me address your two questions based on the graph:
-
Intervals of Decrease: The function is decreasing where the slope of the graph is negative. From observation:
- The function decreases from around to .
- It also decreases from to approximately .
Therefore, the function is decreasing on the intervals:
-
**Inflection Point:
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Math Problem Analysis
Mathematical Concepts
Calculus
Functions
Inflection Points
Intervals of Increase and Decrease
Formulas
-
Theorems
Critical Points Theorem
Inflection Point Theorem
Suitable Grade Level
Grades 10-12
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