Option C:
[tex]f(-3)=5[/tex]
Solution:
Given function:
[tex]f(x)=|x-2|[/tex]
To find f(-3):
[tex]f(x)=|x-2|[/tex]
Substitute x = -3 in the function.
[tex]f(-3)=|-3-2|[/tex]
Subtract the number -3 - 2 = -5
[tex]f(-3)=|-5|[/tex]
Apply the absolute rule:
[tex]|-a|=a[/tex]
[tex]|-5|=5[/tex]
[tex]f(-3)=5[/tex]
Option C is the correct answer.
