1. The problem is to understand how to find specific features or points on a graph. 2. To find points on a graph, you need to know the function equation, for example, $y=f(x)$. 3. Important features to find include intercepts (where the graph crosses the axes) and extrema (maximum or minimum points). 4. To find the $x$-intercept, set $y=0$ and solve for $x$. 5. To find the $y$-intercept, set $x=0$ and solve for $y$. 6. To find extrema, calculate the derivative $f'(x)$, set it to zero, and solve for $x$; then evaluate $f(x)$ at those points. 7. Plotting these points on the graph helps visualize the function's behavior. 8. For example, if $y=x^2-4$, the $x$-intercepts are found by solving $x^2-4=0$ which gives $x=\pm 2$. 9. The $y$-intercept is $y=(0)^2-4=-4$. 10. The derivative is $f'(x)=2x$, setting $2x=0$ gives $x=0$ which is the minimum point. 11. Evaluating $f(0)=0^2-4=-4$ confirms the minimum at $(0,-4)$. 12. These steps help you find key points on any graph.