The table represents a linear function. Write a rule for this function in the
1 answer:
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Answer:
1. The car is slowing down at a rate of 2.5mph/s
2. The greatest acceleration is 10 mph/s.
3. In the interval 4s to 16s the speed remains constant and has magnitude 25 mph.
Step-by-step explanation:
1. The deceleration of the car is from 16 seconds to 24 seconds is the slope of the graph from 16 to 24:
the negative sign indicates that it is deceleration.
2. The automobile experiences the greatest change in speed when the slope is greatest because that is when acceleration/deceleration is greatest.
From the graph we see that the greatest slope of the graph is between 28 and 24 seconds. The acceleration the interval is the slope :
3. The automobile experiences no acceleration in the interval 4 s to 16 s—that's the graph is flat.
The speed of the automobile in that interval, as we see from the graph, is 25 mph.
The statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.
Let us understand about the given graph:
The given graph is a graph of a cube root function.
So, the statement of Noelle, “The graph represents the function ." is correct.
So, option A is not correct.
The inverse of a cube root function is a cubic function.
So, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect.
So, option B is correct.
The domain and range of the cube root function are all real numbers.
So, the statement of Julian, “The domain and range of the function is all real numbers.” is correct.
So, option C is not correct.
From the graph, we can see f(-1) = -1.
So, the statement of Yemen, “The value of f(-1) = -1.” is correct.
So, option D is not correct.
Thus, the statement of Gabriella, “The graph will not have an inverse function.” is incorrect. Option B is correct.
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