Question

question 4 (1 point) ✓ saved the graph of f(x) is given below: at what points is f(x) continuous? (choose all that apply.)

Explanation:

Step1: Recall continuity criteria

A function is continuous at a point if the limit from the left - hand side, the limit from the right - hand side, and the function value at that point are equal. Visually, there are no breaks, jumps, or holes at the point of continuity.

Step2: Analyze the graph

Look for points where the graph has no holes (open - circles), no jumps, and no vertical asymptotes. Points where the graph can be drawn without lifting the pen are continuous.

Answer:

Points where the graph has a solid - dot (no open - circles) and can be traced without interruption are the points of continuity. Without specific x - values labeled on the graph, we can only say that the continuous points are the ones where the graph has a smooth connection and no open - circles or breaks. If we assume the domain is within the visible part of the graph, the points where the graph has solid endpoints and smooth curves (excluding the open - circle points) are the continuous points.