To determine the y-intercept of the function [tex]\( f(x) = 4x + 12 \)[/tex], we need to find the value of the function when [tex]\( x = 0 \)[/tex].
The y-intercept is the point where the graph of the function crosses the y-axis. This occurs when [tex]\( x = 0 \)[/tex].
1. Substitute [tex]\( x = 0 \)[/tex] into the function:
[tex]\[
f(0) = 4(0) + 12
\][/tex]
2. Simplify the expression:
[tex]\[
f(0) = 0 + 12
\][/tex]
3. Therefore:
[tex]\[
f(0) = 12
\][/tex]
Thus, the y-intercept of the graph of the function [tex]\( f(x) = 4x + 12 \)[/tex] is [tex]\( 12 \)[/tex].
So, the correct answer is:
12
