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Home > PC3 > Chapter 7 > Lesson 7.2.2 > Problem 7-87


3 piece, piecewise, y axis unscaled, left piece, linear from lower left to open point @ x = negative 2, center opening up curve, starting at same open point at x = negative 2, decreasing then turning on the y axis, ending @ open point @ x = 2, right piece, decreasing ray, starting at same open point at x = 2, continuing right & down.The graph of is shown at right. Does exist for:  

Limits do not exist when there are vertical asymptotes or "jumps" in the curve.

  1. All values of in the interval

  2. Is the function continuous at ? Explain.

    For a function to be continuous at a given point, the limit must exist and the function must be defined at that point.