consider the following graph of the function g. from the given graph of g, state the numbers at which g is…

consider the following graph of the function g. from the given graph of g, state the numbers at which g is discontinuous. (enter your answers as a comma - separated list.) x = -3,0,1,3 x resources

consider the following graph of the function g. from the given graph of g, state the numbers at which g is discontinuous. (enter your answers as a comma - separated list.) x = -3,0,1,3 x resources

Answer

Explanation:

Step1: Recall continuity criteria

A function is discontinuous where there are jumps, holes or vertical asymptotes.

Step2: Analyze the graph

At (x=- 2), there is a hole in the graph, so the function is discontinuous at (x = - 2). At (x=0), there is a jump - the left - hand limit and the right - hand limit are not equal to the function value at (x = 0), so the function is discontinuous at (x=0). At (x = 1), there is a jump in the graph, so the function is discontinuous at (x = 1).

Answer:

-2,0,1