Subjects algebra

Graph Sketching

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1. The problem is to sketch the graphs of functions, but no specific functions were provided. 2. To sketch a graph, you typically identify key features such as intercepts, extrema (maxima and minima), and general shape. 3. Without specific functions, I cannot provide exact sketches, but I can explain how to find these features for any function $y=f(x)$: - Intercepts: Solve $f(x)=0$ for $x$-intercepts and find $f(0)$ for the $y$-intercept. - Extrema: Find critical points by solving $f'(x)=0$ and use the second derivative test to classify them. 4. If you provide specific functions, I can help sketch their graphs with detailed steps.