Certainly! I'll guide you through the process of evaluating the polynomial function [tex]\( f(x) = x^2 + 5 \)[/tex] at [tex]\( x = -8 \)[/tex].
1. Start by substituting [tex]\( x = -8 \)[/tex] into the function [tex]\( f(x) \)[/tex]:
[tex]\[
f(-8) = (-8)^2 + 5
\][/tex]
2. Calculate [tex]\( (-8)^2 \)[/tex]:
[tex]\[
(-8)^2 = 64
\][/tex]
3. Now add 5 to the result:
[tex]\[
64 + 5 = 69
\][/tex]
Thus, the value of [tex]\( f(-8) \)[/tex] is [tex]\( \boxed{69} \)[/tex]. The correct answer is "Saved [tex]\( f(-8) = 69 \)[/tex]".
