Math Problem Statement
Use the graph to state the absolute and local maximum and minimum values of the function. (Assume each point lies on the gridlines. Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
The x y-coordinate plane is given. A function labeled y = g(x) with two closed points and two open points is graphed. The functions begins at the open point on the positive y-axis at y = 5, goes down and right becoming less steep, ends at the open point (2, 3), has a closed point at (2, 2) directly below the previous point, begins again at the open point (2, 3), goes up and right becoming less steep, changes direction at the point (3, 4), goes down and right becoming more steep, changes direction sharply at the point (4, 1), goes up and right becoming less steep, changes direction at the point (6, 3), goes down and right, and ends at the closed point (7, 2). absolute maximum value
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Graph Analysis
Local and Absolute Extrema
Formulas
None explicitly, but graph analysis involves checking the y-values at critical points
Theorems
Extreme Value Theorem
Suitable Grade Level
Grades 11-12