Identify the y-intercept of the function: $f(x)=-\frac{1}{3} x+1$

Step 1 ：Identify the y-intercept of the function: \(f(x)=-\frac{1}{3} x+1\)

Step 2 ：The y-intercept of a function is the point where the line crosses the y-axis. This occurs when x = 0. So, to find the y-intercept, we need to substitute x = 0 into the function and solve for y.

Step 3 ：y_intercept = 1.0

Step 4 ：Final Answer: The y-intercept of the function \(f(x)=-\frac{1}{3} x+1\) is \(\boxed{1}\)