To calculate the initial value of the function [tex]\( f(x) = \left( \frac{1}{4} \right)^x \)[/tex], we need to evaluate the function at [tex]\( x = 0 \)[/tex].
[tex]\[ f(0) = \left( \frac{1}{4} \right)^0 \][/tex]
Recall that any non-zero number raised to the power of 0 is equal to 1.
[tex]\[ \left( \frac{1}{4} \right)^0 = 1 \][/tex]
Therefore, the initial value of the function [tex]\( f(0) = 1 \)[/tex].
