match each expression with its value.\n6 2 -6 undefined\ng(-5)\ng(-4.0001)\ng(-4)\ng(-3.999)

Explanation:

Step1: Locate x = -5 on graph

The graph shows that when (x=-5), (y = 6). So (g(-5)=6).

Step2: Locate x = -4.0001 on graph

As (x=-4.0001) is just to the left of (x = - 4), and the left - hand part of the function near (x=-4) has (y = 6), so (g(-4.0001)=6).

Step3: Locate x = -4 on graph

The function is not defined at (x=-4) (open - circle at (x = - 4)), so (g(-4)) is Undefined.

Step4: Locate x = -3.999 on graph

Since (x=-3.999) is just to the right of (x=-4), and the right - hand part of the function near (x = - 4) has (y = 2), so (g(-3.999)=2).

Answer:

g(-5): 6 g(-4.0001): 6 g(-4): Undefined g(-3.999): 2