1. **Problem Statement:** Find the extrema (maximum and minimum points) of the function $f$ and sketch its graph. 2. **Step 1: Identify the function.** Since the function $f$ is not explicitly given, let's assume a general function $f(x)$ for explanation. 3. **Step 2: Find the derivative $f'(x)$.** The extrema occur where the derivative is zero or undefined. 4. **Step 3: Solve $f'(x) = 0$ to find critical points.** These points are candidates for extrema. 5. **Step 4: Use the second derivative test or analyze the sign changes of $f'(x)$ around critical points to classify them as maxima, minima, or neither.** 6. **Step 5: Sketch the graph using the information about extrema, intercepts, and behavior at infinity.** Since the function $f$ is not provided, please provide the explicit function to proceed with exact calculations and graph sketching.