which of the following accurately lists all of the discontinuities for the function graphed below?\no jump…

which of the following accurately lists all of the discontinuities for the function graphed below?\no jump discontinuity at x = 0; point discontinuity at x = 8\no jump discontinuity at x = 0; point discontinuities at x = -2 and x = 8\no jump discontinuities at x = 0 and x = 8; point discontinuity at x = -2\no jump discontinuity at x = 0; point discontinuities at x = -2, x = 3 and x = 8

which of the following accurately lists all of the discontinuities for the function graphed below?\no jump discontinuity at x = 0; point discontinuity at x = 8\no jump discontinuity at x = 0; point discontinuities at x = -2 and x = 8\no jump discontinuities at x = 0 and x = 8; point discontinuity at x = -2\no jump discontinuity at x = 0; point discontinuities at x = -2, x = 3 and x = 8

Answer

Answer:

Jump discontinuity at (x = 0); point discontinuities at (x=- 2,x = 3) and (x = 8)

Explanation:

Step1: Identify jump - discontinuity

At (x = 0), the left - hand limit and the right - hand limit of the function are different, creating a jump.

Step2: Identify point discontinuities

At (x=-2), there is a hole in the graph. At (x = 3), there is a hole in the graph. At (x = 8), there is a hole in the graph. These are point discontinuities as the function is not defined at these points while the limits may exist.