https://file.aiquickdraw.com/mathbot/file/1726699501895aky7iapd.jpg

To solve this, let's identify the **x-intercepts** and **y-intercepts** of the graphs one by one.

1. **Graph 1**:
   - **x-intercept(s)**: The graph crosses the x-axis at approximately \( x = 1 \).
   - **y-intercept**: The graph crosses the y-axis at approximately \( y = 1 \).

2. **Graph 2**:
   - **x-intercept(s)**: The graph crosses the x-axis at two points, approximately at \( x = -1 \) and \( x = 1 \).
   - **y-intercept**: The graph crosses the y-axis at \( y = 2 \).

3. **Graph 3**:
   - **x-intercept(s)**: No x-intercept, the graph does not touch or cross the x-axis.
   - **y-intercept**: The graph crosses the y-axis at approximately \( y = 0.5 \).

4. **Graph 4**:
   - **x-intercept(s)**: The graph crosses the x-axis at \( x = -2 \) and \( x = 2 \).
   - **y-intercept**: The graph crosses the y-axis at \( y = 0 \).

5. **Graph 5**:
   - **x-intercept(s)**: No x-intercept.
   - **y-intercept**: No y-intercept.

6. **Graph 6**:
   - **x-intercept(s)**: The graph crosses the x-axis at \( x = 3 \).
   - **y-intercept**: The graph crosses the y-axis at \( y = 1 \).

Would you like a more detailed breakdown for any of these? Here are some relative questions to expand your understanding:

1. What are the properties of functions that don't have x-intercepts or y-intercepts?
2. How can we determine the number of x-intercepts of a quadratic function by looking at its equation?
3. What are the differences between linear and nonlinear functions in terms of intercepts?
4. Can a graph have more than one y-intercept? Why or why not?
5. How do you find intercepts algebraically if the function's equation is given?

**Tip**: A function's x-intercept(s) can be found by setting \( f(x) = 0 \), while the y-intercept is found by setting \( x = 0 \).

Identify the x- and y-intercepts of the functions graphed below.

Learn how to find the x- and y-intercepts from function graphs. This activity involves analyzing graphical data to locate where the graph crosses the axes, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation