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Use the tables to find the indicated values (1-2).

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|}
\hline [tex]$1 . n$[/tex] & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline[tex]$f(n)$[/tex] & -8 & -3 & 2 & 7 & 12 & 17 & 22 & 27 & 32 & 37 \\
\hline
\end{tabular}

\begin{tabular}{|l|c|c|c|c|c|c|c|c|c|c|}
\hline 2. [tex]$n$[/tex] & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\
\hline[tex]$g(n)$[/tex] & 20 & 13 & 6 & -1 & -8 & -15 & -22 & -29 & -36 & -43 \\
\hline
\end{tabular}

Find the following values:

- [tex]$f(5)$[/tex]: [tex]$\qquad$[/tex]
- [tex]$f(9)$[/tex]: [tex]$\qquad$[/tex]
- [tex]$n$[/tex] that goes with [tex]$f(n)=22$[/tex]: [tex]$\qquad$[/tex]
- [tex]$n$[/tex] that goes with [tex]$f(n)=-3$[/tex]: [tex]$\qquad$[/tex]
- [tex]$g(3)$[/tex]: [tex]$\qquad$[/tex]
- [tex]$g(8)$[/tex]: [tex]$\qquad$[/tex]
- [tex]$n$[/tex] that goes with [tex]$g(n)=-1$[/tex]: [tex]$\qquad$[/tex]
- [tex]$n$[/tex] that goes with [tex]$g(n)=-43$[/tex]: [tex]$\qquad$[/tex]

Sagot :

GinnyAnsweridn
Sure, let's go through each of these items step-by-step based on the given tables for the functions [tex]\( f \)[/tex] and [tex]\( g \)[/tex].

1. Find [tex]\( f(5) \)[/tex]:
- Look at the value corresponding to [tex]\( n = 5 \)[/tex] in the table for [tex]\( f(n) \)[/tex].
- [tex]\( f(5) = 12 \)[/tex].

2. Find [tex]\( f(9) \)[/tex]:
- Look at the value corresponding to [tex]\( n = 9 \)[/tex] in the table for [tex]\( f(n) \)[/tex].
- [tex]\( f(9) = 32 \)[/tex].

3. Find [tex]\( n \)[/tex] that goes with [tex]\( f(n) = 22 \)[/tex]:
- Find the index [tex]\( n \)[/tex] where [tex]\( f(n) = 22 \)[/tex].
- The corresponding [tex]\( n \)[/tex] is 7.

4. Find [tex]\( n \)[/tex] that goes with [tex]\( f(n) = -3 \)[/tex]:
- Find the index [tex]\( n \)[/tex] where [tex]\( f(n) = -3 \)[/tex].
- The corresponding [tex]\( n \)[/tex] is 2.

5. Find [tex]\( g(3) \)[/tex]:
- Look at the value corresponding to [tex]\( n = 3 \)[/tex] in the table for [tex]\( g(n) \)[/tex].
- [tex]\( g(3) = 6 \)[/tex].

6. Find [tex]\( g(8) \)[/tex]:
- Look at the value corresponding to [tex]\( n = 8 \)[/tex] in the table for [tex]\( g(n) \)[/tex].
- [tex]\( g(8) = -29 \)[/tex].

7. Find [tex]\( n \)[/tex] that goes with [tex]\( g(n) = -1 \)[/tex]:
- Find the index [tex]\( n \)[/tex] where [tex]\( g(n) = -1 \)[/tex].
- The corresponding [tex]\( n \)[/tex] is 4.

8. Find [tex]\( n \)[/tex] that goes with [tex]\( g(n) = -43 \)[/tex]:
- Find the index [tex]\( n \)[/tex] where [tex]\( g(n) = -43 \)[/tex].
- The corresponding [tex]\( n \)[/tex] is 10.

So, the values are:
- [tex]\( f(5) = 12 \)[/tex]
- [tex]\( f(9) = 32 \)[/tex]
- [tex]\( n \)[/tex] for [tex]\( f(n) = 22 \)[/tex] is 7
- [tex]\( n \)[/tex] for [tex]\( f(n) = -3 \)[/tex] is 2
- [tex]\( g(3) = 6 \)[/tex]
- [tex]\( g(8) = -29 \)[/tex]
- [tex]\( n \)[/tex] for [tex]\( g(n) = -1 \)[/tex] is 4
- [tex]\( n \)[/tex] for [tex]\( g(n) = -43 \)[/tex] is 10
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