Step 1 :The function given is a linear function, represented by \(f(x)=300-25x\).
Step 2 :The intercepts are the points where the line crosses the x-axis and y-axis.
Step 3 :The x-intercept is the value of x when \(f(x) = 0\), and the y-intercept is the value of \(f(x)\) when \(x = 0\).
Step 4 :The x-intercept is 12, which means that after 12 years, there will be no bass left in the lake.
Step 5 :The y-intercept is 300, which is the initial number of bass in the lake.
Step 6 :Final Answer: The x-intercept is \(\boxed{12}\) and the y-intercept is \(\boxed{300}\).