Algebra A Unit 7 Quiz 23-24 due 10/30
3 of 143 of 14 Items
Question
POSSIBLE POINTS: 7.69
Consider the following graph:
x axis dot is at 2 1/2 y axis dot is at -2
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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To find the slope/rate of change between the inputs of 0 and 3, we need to find the change in the y-values divided by the change in the x-values.
The y-value at x = 0 is -2 and the y-value at x = 3 is -2. Therefore, the change in the y-values is 0.
The x-value at x = 0 is 0 and the x-value at x = 3 is 3. Therefore, the change in the x-values is 3 - 0 = 3.
So, the slope/rate of change between the inputs of 0 and 3 is 0/3 = 0.
To find the slope/rate of change between the domain values of 3 and 6, we follow the same process.
The y-value at x = 3 is -2 and the y-value at x = 6 is -2. Therefore, the change in the y-values is 0.
The x-value at x = 3 is 3 and the x-value at x = 6 is 6. Therefore, the change in the x-values is 6 - 3 = 3.
So, the slope/rate of change between the domain values of 3 and 6 is 0/3 = 0.
Since the slope/rate of change is 0 in both cases, we can conclude that the slope/rate of change is constant.
Based on the information given, we cannot determine if the function is linear. We would need more information about the shape of the graph to make that determination.