To determine the slope/rate of change between the inputs of 0 and 3, we can calculate the change in the outputs. From the graph, we can see that the output at x = 0 is -2 and the output at x = 3 is 4.
Therefore, the change in output is 4 - (-2) = 6.
The change in the input is 3 - 0 = 3.
So, the slope/rate of change between the inputs of 0 and 3 is 6/3 = 2.
Similarly, to determine the slope/rate of change between the domain values of 3 and 6, we can calculate the change in the outputs. From the graph, we can see that the output at x = 3 is 4 and the output at x = 6 is 6.
Therefore, the change in output is 6 - 4 = 2.
The change in the input is 6 - 3 = 3.
So, the slope/rate of change between the domain values of 3 and 6 is 2/3.
Since the slope/rate of change is different between the two intervals, the slope/rate of change is not constant.
Based on the given information and the graph, it is difficult to determine if the function is linear without more information.
Consider the following graph:
What is the slope/rate of change between the inputs of 0 and 3?
What is the slope/rate of change between the domain values of 3 and 6?
Is the slope/rate of change constant (not changing/the same)?
Is the function linear?
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Is the function linear?
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1 answer
1 answer