To determine the value of [tex]\( f(-8) \)[/tex] for the function [tex]\( f(x) = \frac{1}{4} \)[/tex], we need to evaluate the function at [tex]\( x = -8 \)[/tex].
Step-by-Step Solution:
1. Understand the function: The function [tex]\( f(x) \)[/tex] is given as [tex]\( f(x) = \frac{1}{4} \)[/tex]. This indicates that the value of the function is always [tex]\(\frac{1}{4}\)[/tex] regardless of the input [tex]\( x \)[/tex].
2. Evaluate at [tex]\( x = -8 \)[/tex]: Even though the function [tex]\( f \)[/tex] is supposed to take an input [tex]\( x \)[/tex], the given function is a constant function, meaning it does not change with different values of [tex]\( x \)[/tex]. Hence, [tex]\( f(-8) = \frac{1}{4} \)[/tex].
3. Simplify the value: The fraction [tex]\(\frac{1}{4}\)[/tex] can be represented in decimal form.
Thus:
[tex]\[ f(-8) = \frac{1}{4} = 0.25 \][/tex]
So, the value of [tex]\( f(-8) \)[/tex] is [tex]\( \boxed{0.25} \)[/tex], and it does not match any of the provided choices, which must be interpreted as an error in the choices provided.
