The coordinates of a stationary point for the function  is at .Find the value of  at the stationary point.

To solve the question about finding the value of a function at a stationary point, we'll approach it systematically. The question might involve calculating a local maximum, minimum, or inflection point based on the derivative of the function. Here's how we can tackle the problem:

1. Break Down the Problem

   To find the value of the function at the stationary point, we first need the following:

   • Determine the function $f(x)$ if not given.
   • Identify the coordinates of the stationary point.
   • Substitute the coordinates into the function to find the value at that point.

2. Relevant Concepts

   The stationary point can be found where the derivative of the function $f'(x) = 0$. This point indicates where the function does not increase or decrease, meaning it could be a local maximum, minimum, or a saddle point.

3. Analysis and Detail

   If the coordinates of the stationary point, say $(x_0, y_0)$, are provided, we will substitute $x_0$ into the function to compute $f(x_0)$: $f(x_0) = y_0$

4. Verify and Summarize

   After substituting, we will verify the calculations, ensuring that the value obtained accurately reflects $f(x_0)$.

Final Answer

Once we have the specific function or additional information (like the actual function’s expression or a graph), we can finalize the answer. If, for instance, the function is $f(x) = x^2 - 4x + 4$ and the stationary point is at $x = 2$: $f(2) = 2^2 - 4 \cdot 2 + 4 = 0$ Thus, the value at the stationary point would be $0$.

For an accurate response, please provide the specific function and the coordinates of the stationary point.