Suppose that $f(x)=\frac{x-4}{(x-6)(x+8)}$ a. What is the vertical intercept for $f$ ? \[ y= \] Preview b. List the horizontal intercepts for $f$. \[ x= \] Preview

Step 1 ：The vertical intercept of a function is the point where the graph of the function intersects the y-axis. This occurs when x = 0. So, to find the vertical intercept, we need to substitute x = 0 into the function and solve for y.

Step 2 ：Substitute x = 0 into the function: \(f = \frac{x - 4}{(x - 6)(x + 8)}\)

Step 3 ：Solve for y: \(y = \frac{1}{12}\)

Step 4 ：Final Answer: The vertical intercept for \(f\) is \(\boxed{\frac{1}{12}}\)