Pregunta
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(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 \( (x, y)=(\square) \)

Ask by Hill Young. in the United States
Jan 23,2025

Solución de tutoría real

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To find the \( x \)- and \( y \)-intercepts, set \( y = 0 \) and \( x = 0 \) in the graph's equation and solve for the respective variables. However, the equation of the graph is not provided, so the intercepts cannot be determined.

Solución

To find the \( x \)- and \( y \)-intercepts of a graph, we need to follow these steps: 1. **Finding the \( x \)-intercepts**: Set \( y = 0 \) in the equation of the graph and solve for \( x \). The solutions will give us the \( x \)-intercepts. 2. **Finding the \( y \)-intercept**: Set \( x = 0 \) in the equation of the graph and solve for \( y \). The solution will give us the \( y \)-intercept. However, you haven't provided the equation of the graph. Please provide the equation so that I can help you find the intercepts.

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The Deep Dive

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.

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