To solve the function [tex]\( y = x^3 + 1 \)[/tex] for [tex]\( x = 4 \)[/tex], follow these steps:
1. Substitute [tex]\( x = 4 \)[/tex] into the function:
[tex]\[
y = (4)^3 + 1
\][/tex]
2. Calculate the cube of 4:
[tex]\[
4^3 = 4 \times 4 \times 4 = 64
\][/tex]
3. Add 1 to the result of [tex]\( 4^3 \)[/tex]:
[tex]\[
y = 64 + 1 = 65
\][/tex]
Therefore, when [tex]\( x = 4 \)[/tex], the value of [tex]\( y \)[/tex] is [tex]\( 65 \)[/tex].