practice analyzing, graphing, and defining piecewise functions. which values are within the domain of the…

practice analyzing, graphing, and defining piecewise functions. which values are within the domain of the function? check all that apply. x = -6 x = -4 x = -2 x = 0 x = 2 x = 4

practice analyzing, graphing, and defining piecewise functions. which values are within the domain of the function? check all that apply. x = -6 x = -4 x = -2 x = 0 x = 2 x = 4

Answer

Explanation:

Step1: Identify domain visually

The domain is the set of all x - values for which the function is defined. Looking at the graph, the left - most x - value is at $x=-4$ (solid dot means included) and the function extends to the right. The open circle at $x = 2$ means $x = 2$ is not included, but values less than 2 and greater than or equal to - 4 are part of the domain, and then values greater than 2 are also part of the domain.

Step2: Check each option

For $x=-6$, it is not in the domain as the function starts at $x = - 4$. For $x=-4$, it is in the domain (solid dot). For $x=-2$, it is in the domain. For $x = 0$, it is in the domain. For $x = 2$, it is not in the domain (open circle). For $x = 4$, it is in the domain.

Answer:

x=-4, x=-2, x = 0, x = 4