To answer the questions based on the tables (which are not visible in this text), I will outline how to approach each question based on typical characteristics of functions, linear relationships, and relationships that are decreasing.
A. To determine which table(s) do not represent a function, you need to identify if there are any repeated input values (usually x-values) that produce different output values (y-values). If there are any such cases, those tables do not represent a function.
B. A linear relationship is indicated by a consistent rate of change between the inputs and outputs. In a table, this would mean that for each step in the input (x), the output (y) increases or decreases by the same amount. If all input values produce a consistent change in the output values, then the relationship is linear.
C. A decreasing relationship will show that as the input values increase, the output values decrease consistently. You would look for tables where, as you move from one row to the next, the y-values are getting smaller.
Based on this approach: A. If Relation 2 has repeated x-values with different y-values, it does not represent a function. B. Identify the relations that have a constant difference in output values; you would list those relations. C. Identify the relations where the y-values consistently decrease as the x-values increase.
Based on the options provided, you would select the appropriate relations for each question. If you provide more specific details or data from the tables, I can help with more precise answers. However, from the options given, here’s a guide on how to proceed:
- For A, look for options that indicate a non-functional relationship (such as Relation 2).
- For B, look for consistently spaced input-output pairs indicating linear relationships (for example, Relation 1 and 4).
- For C, look for decreasing sequences (like Relation 4 if it fits that pattern).
Remember to check each relation based on the definitions given before selecting your answers!
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