Answer :
Let's match each input with its corresponding output for the function [tex]\( f(x) = 7x - 3 \)[/tex].
1. To find [tex]\( f(-2) \)[/tex]:
[tex]\[
f(-2) = 7(-2) - 3 = -14 - 3 = -17
\][/tex]
So, [tex]\( f(-2) \)[/tex] matches with [tex]\(-17\)[/tex].
2. To find [tex]\( f(3) \)[/tex]:
[tex]\[
f(3) = 7(3) - 3 = 21 - 3 = 18
\][/tex]
So, [tex]\( f(3) \)[/tex] matches with [tex]\(18\)[/tex].
3. To find [tex]\( f(8) \)[/tex]:
[tex]\[
f(8) = 7(8) - 3 = 56 - 3 = 53
\][/tex]
So, [tex]\( f(8) \)[/tex] matches with [tex]\(53\)[/tex].
4. To find [tex]\( f(7) \)[/tex]:
[tex]\[
f(7) = 7(7) - 3 = 49 - 3 = 46
\][/tex]
So, [tex]\( f(7) \)[/tex] matches with [tex]\(46\)[/tex].
Let's now summarize the matches:
- [tex]\( f(-2) \)[/tex] corresponds to output [tex]\(-17\)[/tex] (option c).
- [tex]\( f(3) \)[/tex] corresponds to output [tex]\(18\)[/tex] (option b).
- [tex]\( f(8) \)[/tex] corresponds to output [tex]\(53\)[/tex] (option a).
- [tex]\( f(7) \)[/tex] corresponds to output [tex]\(46\)[/tex] (option d).
1. To find [tex]\( f(-2) \)[/tex]:
[tex]\[
f(-2) = 7(-2) - 3 = -14 - 3 = -17
\][/tex]
So, [tex]\( f(-2) \)[/tex] matches with [tex]\(-17\)[/tex].
2. To find [tex]\( f(3) \)[/tex]:
[tex]\[
f(3) = 7(3) - 3 = 21 - 3 = 18
\][/tex]
So, [tex]\( f(3) \)[/tex] matches with [tex]\(18\)[/tex].
3. To find [tex]\( f(8) \)[/tex]:
[tex]\[
f(8) = 7(8) - 3 = 56 - 3 = 53
\][/tex]
So, [tex]\( f(8) \)[/tex] matches with [tex]\(53\)[/tex].
4. To find [tex]\( f(7) \)[/tex]:
[tex]\[
f(7) = 7(7) - 3 = 49 - 3 = 46
\][/tex]
So, [tex]\( f(7) \)[/tex] matches with [tex]\(46\)[/tex].
Let's now summarize the matches:
- [tex]\( f(-2) \)[/tex] corresponds to output [tex]\(-17\)[/tex] (option c).
- [tex]\( f(3) \)[/tex] corresponds to output [tex]\(18\)[/tex] (option b).
- [tex]\( f(8) \)[/tex] corresponds to output [tex]\(53\)[/tex] (option a).
- [tex]\( f(7) \)[/tex] corresponds to output [tex]\(46\)[/tex] (option d).