What is the zero of f?
Understand the Problem
The question is asking for the zero of the linear function f, which is the x-value where the function crosses the x-axis (y = 0). To solve this, we would need to observe the graph and determine the x-coordinate of the point where the graph intersects the x-axis.
Answer
The zero of the function \( f \) is \( x = 3 \).
Answer for screen readers
The zero of the function ( f ) is ( x = 3 ).
Steps to Solve
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Identify where the line crosses the x-axis Examine the graph of the function ( f ) to find the point where the line intersects the x-axis. This point indicates the value of ( x ) where ( f(x) = 0 ).
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Locate the x-coordinate of the intersection Using the graph, find the approximate x-coordinate of the intersection point. Notice that the line intersects the x-axis at around ( x = 3 ).
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Confirm the coordinates of the intersection The coordinates of the intersection point should be ( (3, 0) ). This confirms that the function value at this point is zero.
The zero of the function ( f ) is ( x = 3 ).
More Information
The zero of a function, also known as the root or x-intercept, is often found by observing the graph. When a linear function intersects the x-axis, it indicates where the output (or ( y )-value) is zero.
Tips
- Misreading the graph: Make sure to accurately identify the point of intersection.
- Incorrectly estimating the value: Double-check the x-coordinate where the line crosses the x-axis.
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