Math Problem Statement

For the function A whose graph is shown, state the following. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) Here is a description of the graph: The x y-coordinate plane is given. The function enters the window in the second quadrant, goes up and right becoming more steep, exits just to the left of x = −3 in the second quadrant nearly vertical, reenters just to the right of x = −3 in the second quadrant nearly vertical, goes down and right becoming less steep, crosses the x-axis at x = −2, goes down and right becoming more steep, exits the window just to the left of x = −1 in the third quadrant nearly vertical, reenters just to the right of x = −1 in the third quadrant nearly vertical, goes up and right becoming less steep, crosses the y-axis at approximately y = −0.6, changes direction at the approximate point (0.5, −0.5) goes down and right becoming more steep, exits the window just to the left of x = 2 in the fourth quadrant nearly vertical, reenters just to the right of x = 2 in the first quadrant nearly vertical, goes down and right becoming less steep, crosses the x-axis at x = 3, changes direction at the approximate point (4.5, −1.5), goes up and right becoming more steep, crosses the x-axis at approximately x = 6.5, and exits the window in the first quadrant.

Solution

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Math Problem Analysis

Mathematical Concepts

Limits
Vertical Asymptotes
Function Behavior

Formulas

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Theorems

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Suitable Grade Level

Advanced High School