Final answer:
The y-intercept of function f(x)=2x+12 is found by setting x=0, resulting in f(0)=12, which is the y-intercept. Option (d) 4 may be a typo and should read '12' to match the correct answer.
Step-by-step explanation:
To find the y-intercept of the function f(x) = 2x + 12, we need to determine the value of the function when x is equal to 0. The y-intercept occurs where the graph of the function crosses the y-axis.
By substituting x = 0 into the equation, we get:
f(0) = 2(0) + 12 = 0 + 12 = 12
Therefore, the y-intercept of the function f(x) is 12, which corresponds to option (d) 4 if we consider the possibility that '4' is a typo in the question and should instead be '12'. If 4 is not a typo, then none of the options provided match the correct answer.