To determine the correct description of the graphed function, we need to analyze the possible options based on common types of functions.
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The domain of the function is the set of all non-negative real numbers and the range is the set of all real numbers.
- This description may fit functions that only take non-negative input (like square root functions).
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The domain and range of the function are both the set of all real numbers.
- This description generally corresponds to linear functions, polynomials of odd degree, etc.
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The domain of the function is the set of all real numbers and the range is the set of all non-negative real numbers.
- This description usually fits non-negative functions like quadratics (e.g., \(y = x^2\)).
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The domain of the function is the set of all real numbers and the range is the set of all non-negative real numbers.
- This describes functions that can take all real inputs but only produce non-negative outputs, like \( y = \sqrt{x} \).
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The domain and range of the function are both the set of all non-negative real numbers.
- This describes functions like the square function that takes non-negative inputs and produces non-negative outputs.
Without seeing the actual graph, I recommend selecting the option that fits the characteristics of the function shown. If the function only outputs non-negative values, then the relevant options would be #3 or #5. If it accepts both positive and negative inputs and outputs non-negative values, it would likely be #4. If it covers all real numbers for both domain and range, then #2 is your choice.
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