which values of x are point(s) of discontinuity?\n□ x=-6\n□ x=-2\n□ x=0\n□ x=2\n□ x=4\ndone
which values of x are point(s) of discontinuity?\n□ x=-6\n□ x=-2\n□ x=0\n□ x=2\n□ x=4\ndone
Answer
Explanation:
Step1: Recall definition of discontinuity
A function is discontinuous at a point if there is a break, hole or jump in the graph at that point.
Step2: Analyze the graph
Looking at the graph, we see breaks or jumps at (x = - 2) and (x=4). At (x=-2) there is a vertical - like break and at (x = 4) there is a jump in the function values. The function is continuous at (x=-6), (x = 0) and (x=2) as there are no breaks, holes or jumps at those points.
Answer:
(x=-2), (x = 4)