(b) Find the \( x \)-and \( y \)-intercepts of the graph. \( x \)-intercept (smaller \( x \)-value) \( \quad(x, y)=(\square) \) \( x \)-intercept (larger \( x \)-value) \( \quad(x, y)=(\square) \) \( y \)-intercept \( (x, y)=(\square) \)

To find the \( x \)- and \( y \)-intercepts of a graph, you're really diving into the world of coordinate geometry! The \( x \)-intercepts occur where the graph meets the x-axis, which means the y-value is zero. You simply set \( y = 0 \) in your equation and solve for \( x \). On the other hand, the \( y \)-intercept occurs where the graph intersects the y-axis, so you'll set \( x = 0 \) and solve for \( y \). Keep in mind that a single graph can have multiple \( x \)-intercepts but typically only one \( y \)-intercept! After you find the intercepts, it’s always a good idea to double-check your work. Common mistakes include forgetting to set \( y \) to zero for the \( x \)-intercepts, or the opposite for the \( y \)-intercept. It’s easy to mix up the order of operations, especially when working with complex equations, so take your time and ensure your calculations are neat and clear. Accurate plotting can help visualize these intercepts, making it easier to understand the overall shape of the graph.