The graph of a function f is given. Use the graph to answer the question.Is f(40) positive or negative?
Question
The graph of a function f is given.
Use the graph to answer the question. Is f(40) positive or negative?
Solution
To determine whether is positive or negative based on the graph of a function , follow these steps:
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Locate 40 on the x-axis: Find the point where on the horizontal axis of the graph.
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Draw a vertical line: Extend a vertical line from to intersect the curve of the function .
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Identify the y-value: Observe the corresponding y-value (i.e., ) where the vertical line intersects the graph.
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Evaluate the sign:
- If the intersection point lies above the x-axis (y > 0), then is positive.
- If the intersection point lies below the x-axis (y < 0), then is negative.
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Conclusion: Based on the intersection point, conclude whether is positive or negative.
Final Answer
Without the visual graph, I cannot directly ascertain the value of . However, based on the process described, you can determine if is positive or negative by examining the intersection point on the graph.
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