What is the zero of f?
Understand the Problem
The question is asking to determine the zero of the linear function depicted in the provided graph, which involves identifying the x-coordinate where the graph intersects the x-axis.
Answer
The zero of the function $f$ is $x = 2$.
Answer for screen readers
The zero of the function $f$ is $x = 2$.
Steps to Solve
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Identify the Intersection Point
Look at the graph of the linear function and find where it intersects the x-axis. This point indicates the zero of the function, meaning $f(x) = 0$ at this point.
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Read the x-coordinate
At the intersection point, identify the corresponding x-coordinate value. This will provide the zero of the function.
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Determine the Zero's Value
From the graph, if the intersection point is at the coordinate (2, 0), then the zero of the function, denoted as $x$, would be $x = 2$.
The zero of the function $f$ is $x = 2$.
More Information
The zero of a function is the x-value at which the function's output (y-value) is zero. In the case of linear functions, this can be easily found by inspecting the graph where it crosses the x-axis.
Tips
- Reading Coordinates Incorrectly: Make sure to accurately read the x-coordinate at the intersection point on the x-axis; misreading can lead to incorrect answers.
- Confusing X and Y coordinates: Ensure you understand that the zero of the function specifically refers to the x-coordinate where $y=0$.
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