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Part A: Explain why this function is linear. Part B: Discuss the increasing/decreasing behavior of the...

Part A: Explain why this function is linear.
Part B: Discuss the increasing/decreasing behavior of the function.
Part C: What is the domain and range of the function? Use a complete sentence to explain how you know.

Answer

  1. Part A: This function is linear because it is represented by a straight line on the graph. A linear function has a constant rate of change, which is indicated by the uniform slope of the line.

  2. Part B: The function is decreasing because the line slopes downward from left to right. This indicates that as the x-values increase, the y-values decrease.

  3. Part C: The domain of the function is all real numbers, and the range is all real numbers. This is because a linear function extends infinitely in both the horizontal and vertical directions on a graph.

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