Math Problem Statement

The x y-coordinate plane is given. A function composed of 5 parts is on the graph. The first part is a curve that starts at a closed point in the second quadrant at x = −3, goes down and right becoming more steep, passes through an open point at x = −2, crosses the x-axis near x = −1.4, and exits the window almost vertically just to the left of x = −1. The second part is a curve that enters the window almost vertically just to the right of x = −1, goes up and right becoming less steep, crosses the x-axis near x = −0.8, and ends at a closed point on the positive y-axis. The third part is a curve that starts at an open point on the negative y-axis, goes down and right becoming more steep, and ends at an open point at x = 1. The fourth part is a point that lies directly above the end of the third part in the fourth quadrant at x = 1. The fifth part is a curve that starts at an open point directly above the fourth part in the first quadrant at x = 1, goes up and right becoming more steep, and ends at a closed point at x = 3.For which value(s) of a does g(x) approach a different number from the right side than it approaches from the left side? (Select all that apply.) −3 −2 −1 0 1 3

Solution

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Math Problem Analysis

Mathematical Concepts

Discontinuity
Piecewise Functions
Limits

Formulas

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Theorems

Jump Discontinuity
Continuity and Limits

Suitable Grade Level

Grades 10-12