Q3. Use the given graph to find the x-intercept and the zero of the function.

Background

Topic: Linear Functions and Graphs

This question tests your ability to interpret a graph of a linear function, specifically to identify the x-intercept and the zero of the function. The x-intercept is the point where the graph crosses the x-axis, and the zero of the function is the value of x for which f(x) = 0.

Key Terms and Formulas:

• x-intercept: The value of x where the graph crosses the x-axis (y = 0).

• Zero of the function: The value of x for which f(x) = 0.

• Linear equation:

Step-by-Step Guidance

1. Examine the graph and locate the point where the line crosses the x-axis. This is the x-intercept.

2. At the x-intercept, the y-value is zero. So, find the x-coordinate of this point.

3. The zero of the function is the same as the x-intercept for a linear function. Write the value of x where f(x) = 0.

4. Check your answer by confirming that the y-value at this x-coordinate is indeed zero on the graph.

Try solving on your own before revealing the answer!