https://file.aiquickdraw.com/mathbot/file/1725925481762zga01if4.jpg

To identify the intercepts of the graph, we need to determine where the graph crosses the x-axis (x-intercepts) and the y-axis (y-intercepts).

### **X-Intercepts:**
The x-intercepts occur where the curve crosses the x-axis. This means \( y = 0 \).

From the graph:
- The curve crosses the x-axis at \( x = -\pi \), \( x = 0 \), and \( x = \pi \).

Therefore, the x-intercepts are:
\[ (-\pi, 0), \, (0, 0), \, (\pi, 0) \]

### **Y-Intercept:**
The y-intercept occurs where the curve crosses the y-axis. This means \( x = 0 \).

From the graph:
- The y-intercept occurs at \( (0, 0) \).

So, the y-intercept is:
\[ (0, 0) \]

### **Summary:**
- **X-Intercepts:** \( (-\pi, 0), (0, 0), (\pi, 0) \)
- **Y-Intercept:** \( (0, 0) \)

Would you like any further details or explanations?

---

Here are some related questions to explore:
1. What is the equation of the graph shown?
2. How do you find the amplitude of the trigonometric function in the graph?
3. What are the maximum and minimum points of the graph?
4. How do you determine the period of a trigonometric function?
5. What is the phase shift of the function shown in the graph?

**Tip:** When identifying intercepts, always check the points where the graph crosses the axes. For x-intercepts, look at where \( y = 0 \), and for y-intercepts, check where \( x = 0 \).

Learn how to find the x and y intercepts of a sine wave graph. This problem explains how the curve crosses the x-axis and y-axis and provides a detailed solution for trigonometric graph analysis, suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation