To determine the correct description for the graphed function, we need to analyze the domain and range:
- Domain: This refers to the set of inputs (x-values) for which the function is defined.
- Range: This refers to the set of outputs (y-values) that the function can produce.
Based on the potential descriptions provided:
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The first description states both the domain and range are the set of real numbers, which would apply to a function that can take all real inputs and outputs.
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The second description indicates the domain is all real numbers, and the range is non-negative real numbers, this applies to functions that can take any real input but outputs are constrained to be non-negative (like quadratic functions that open upwards).
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The third description suggests the domain is the set of non-negative real numbers while the range is all real numbers which would apply to functions defined only for non-negative inputs but can output any real number, potentially functions like square roots or absolute values defined for x >= 0.
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The fourth description indicates both the domain and range are constrained to non-negative real numbers, which applies to functions like y = √x or y = x².
Without seeing the specific graph, it’s impossible to definitively select one of these options. However, if you can analyze the graph based on these descriptions, you can identify which one fits best:
- Look for any restrictions on the x-values (domain) and y-values (range) evident in the graph.
- Check if the function can go below zero in the y-direction or has limits on x-values.
If you provide more details about the graph or its features, I can assist more accurately in selecting the correct description.
1 answer