which values of x are point(s) of discontinuity? x = -6 x = -2 x = 0 x = 2 x = 4 complete which are…

which values of x are point(s) of discontinuity? x = -6 x = -2 x = 0 x = 2 x = 4 complete which are removable discontinuities? x = -2 x = -2 and x = 0 x = 0 and x = 4 x = -2, x = 0, and x = 4

which values of x are point(s) of discontinuity? x = -6 x = -2 x = 0 x = 2 x = 4 complete which are removable discontinuities? x = -2 x = -2 and x = 0 x = 0 and x = 4 x = -2, x = 0, and x = 4

Answer

Explanation:

Step1: Recall discontinuity definition

A point of discontinuity occurs where the graph has a break, hole or jump.

Step2: Identify points of discontinuity

From the graph, we see breaks or holes at $x = - 2$, $x=0$ and $x = 4$.

Step3: Recall removable - discontinuity definition

A removable discontinuity is a hole in the graph. It occurs when the function has a common factor in the numerator and denominator that can be cancelled out. Visually, it is a single - point gap in the graph.

Step4: Identify removable discontinuities

The holes in the graph are at $x = 0$ and $x = 4$. At $x=-2$ there is a jump discontinuity.

Answer:

$x = 0$ and $x = 4$