To solve the given problem, let's analyze the provided table and complete the given statements step by step.
1. Ordered Pair Using Function Notation:
The first row of the table gives us the ordered pair [tex]\((-6, 8)\)[/tex]. Using function notation, this pair can be written as [tex]\( f(-6) = 8 \)[/tex].
2. Finding [tex]\( f(3) \)[/tex]:
By referring to the table, we look up the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 3 \)[/tex]. From the table, we see that [tex]\( f(3) = -2 \)[/tex].
3. Finding [tex]\( x \)[/tex] When [tex]\( f(x) = -5 \)[/tex]:
We need to determine the value of [tex]\( x \)[/tex] for which [tex]\( f(x) = -5 \)[/tex]. Referring to the table, we see that [tex]\( f(x) = -5 \)[/tex] when [tex]\( x = 4 \)[/tex].
Thus, by analyzing the table we can complete the statements accurately as follows:
- The ordered pair given in the first row of the table can be written using function notation as [tex]\( f(-6) = 8 \)[/tex].
- [tex]\( f(3) \)[/tex] is [tex]\( -2 \)[/tex].
- [tex]\( f(x) = -5 \)[/tex] when [tex]\( x \)[/tex] is [tex]\( 4 \)[/tex].
Complete statements:
1. [tex]\( f(-6) = 8 \)[/tex]
2. [tex]\( f(3) \)[/tex] is [tex]\( -2 \)[/tex]
3. [tex]\( f(x) = -5 \)[/tex] when [tex]\( x \)[/tex] is [tex]\( 4 \)[/tex]
