Q. Use the following function rule to find f(1).f(x)=∣12+x∣f(1)= ___
Identify Function and Input: Identify the function and the input value.We are given the function f(x)=∣12+x∣ and we need to find the value of f(1).
Substitute Input into Function: Substitute the input value into the function.To find f(1), we substitute x with 1 in the function: f(1)=∣12+1∣.
Perform Addition Inside Absolute Value: Perform the addition inside the absolute value.Calculate the sum inside the absolute value: 12+1=13.
Evaluate Absolute Value: Evaluate the absolute value.Since 13 is a positive number, the absolute value of 13 is just 13 itself. Therefore, f(1)=∣13∣=13.