To match each expression with its value, we will evaluate the function [tex]\( g(x) \)[/tex] at the given points and assign the appropriate value from the list: 7, -7, 4, and Undefined.
1. Evaluating [tex]\( g(-4.0001) \)[/tex]:
After evaluating, we find that [tex]\( g(-4.0001) \)[/tex] results in the value [tex]\(-7\)[/tex].
2. Evaluating [tex]\( g(-4) \)[/tex]:
After evaluating, we find that [tex]\( g(-4) \)[/tex] results in the value "Undefined".
3. Evaluating [tex]\( g(-3.999) \)[/tex]:
After evaluating, we find that [tex]\( g(-3.999) \)[/tex] results in the value 4.
4. Evaluating [tex]\( g(3.0001) \)[/tex]:
After evaluating, we find that [tex]\( g(3.0001) \)[/tex] results in the value 7.
Now, we can summarize the results:
- [tex]\( g(-4.0001) = -7 \)[/tex]
- [tex]\( g(-4) = \text{Undefined} \)[/tex]
- [tex]\( g(-3.999) = 4 \)[/tex]
- [tex]\( g(3.0001) = 7 \)[/tex]
Thus, the matching of each expression with its value is as follows:
- [tex]\( g(-4.0001) \)[/tex] matches [tex]\(-7\)[/tex].
- [tex]\( g(-4) \)[/tex] matches [tex]\(\text{Undefined}\)[/tex].
- [tex]\( g(-3.999) \)[/tex] matches [tex]\(4\)[/tex].
- [tex]\( g(3.0001) \)[/tex] matches [tex]\(7\)[/tex].
