Reasonable Domain (Input): The domain would be all non-negative real numbers, as time cannot be negative in this scenario. So the reasonable domain would be [0, ∞).
Reasonable Range (Outputs): The range would be all non-negative real numbers as well, as the total amount of chips in the bag cannot be negative. So the reasonable range would be [0, ∞).
The graph below represents the total amount of chips in the bag in oz., y, over time, x, in minutes.
1) What is the end behavior of the graph?
2) What would be a reasonable domain (input) for this scenario?
3) What would be reasonable range (outputs) for the scenario?
End Behavior
As x goes to -∞, y goes to +∞0. As x goes to
+∞, y goes to -∞.
As x goes to -∞, y goes to -∞. As x goes to
+∞, y goes to ∞.
9 answers
pls help me with this...i don't understand your response
Of course! I'll try to explain in a simpler way.
1) End Behavior: As the time (x-axis) approaches negative infinity, the amount of chips in the bag (y-axis) goes towards positive infinity. As the time approaches positive infinity, the amount of chips in the bag goes towards negative infinity.
2) Reasonable Domain (Input): The domain, or possible values for the time (x-axis), would be all non-negative numbers because time cannot be negative. So, the input, or domain, would start at 0 and go on forever (0, 1, 2, 3, ...).
3) Reasonable Range (Outputs): The range, or possible values for the amount of chips in the bag (y-axis), would also be all non-negative numbers because you can't have a negative amount of chips in the bag. So, the output, or range, would start at 0 and go up to infinity (0, 1, 2, 3, ...).
1) End Behavior: As the time (x-axis) approaches negative infinity, the amount of chips in the bag (y-axis) goes towards positive infinity. As the time approaches positive infinity, the amount of chips in the bag goes towards negative infinity.
2) Reasonable Domain (Input): The domain, or possible values for the time (x-axis), would be all non-negative numbers because time cannot be negative. So, the input, or domain, would start at 0 and go on forever (0, 1, 2, 3, ...).
3) Reasonable Range (Outputs): The range, or possible values for the amount of chips in the bag (y-axis), would also be all non-negative numbers because you can't have a negative amount of chips in the bag. So, the output, or range, would start at 0 and go up to infinity (0, 1, 2, 3, ...).
What’s a reasonable domain? (0,7) or (0,3.5)
this is also the equation in the table: X+ 2y=7
this is also the equation in the table: X+ 2y=7
Given the equation X + 2y = 7, we can determine the reasonable domain by looking at the possible values of X within the context of the problem.
Let's solve the equation X + 2y = 7 for y to find the relationship between X and y:
2y = 7 - X
y = (7 - X) / 2
The equation y = (7 - X) / 2 represents the relationship between the total amount of chips in the bag (y) and time (X) in minutes.
When finding the reasonable domain, we need to consider the constraints based on the context of the problem. In this case, the amount of chips in the bag (y) cannot be negative, which means the expression (7 - X) / 2 must be non-negative. Therefore, to find the reasonable domain, set the expression greater than or equal to 0:
(7 - X) / 2 ≥ 0
7 - X ≥ 0
X ≤ 7
Since time in minutes (X) cannot be negative, the reasonable domain for this scenario is (0, 7). So, the correct choice among the options provided is (0, 7).
Let's solve the equation X + 2y = 7 for y to find the relationship between X and y:
2y = 7 - X
y = (7 - X) / 2
The equation y = (7 - X) / 2 represents the relationship between the total amount of chips in the bag (y) and time (X) in minutes.
When finding the reasonable domain, we need to consider the constraints based on the context of the problem. In this case, the amount of chips in the bag (y) cannot be negative, which means the expression (7 - X) / 2 must be non-negative. Therefore, to find the reasonable domain, set the expression greater than or equal to 0:
(7 - X) / 2 ≥ 0
7 - X ≥ 0
X ≤ 7
Since time in minutes (X) cannot be negative, the reasonable domain for this scenario is (0, 7). So, the correct choice among the options provided is (0, 7).
1) What is the end behavior of the graph?
2) What would be a reasonable domain (input) for this scenario?
3) What would be reasonable range (outputs) for the scenario?
End Behavior
As x goes to -∞, y goes to +∞0. As x goes to
+∞, y goes to -∞.
As x goes to -∞, y goes to -∞. As x goes to
+∞, y goes to ∞.
this the question that goes with those numbers
2) What would be a reasonable domain (input) for this scenario?
3) What would be reasonable range (outputs) for the scenario?
End Behavior
As x goes to -∞, y goes to +∞0. As x goes to
+∞, y goes to -∞.
As x goes to -∞, y goes to -∞. As x goes to
+∞, y goes to ∞.
this the question that goes with those numbers
1) The end behavior of the graph is: as x (time) goes to negative infinity, y (total amount of chips) goes to positive infinity; and as x goes to positive infinity, y goes to negative infinity.
2) A reasonable domain (input) for this scenario would be all non-negative real numbers, as time cannot be negative in this context. Therefore, the reasonable domain would be [0, ∞).
3) A reasonable range (outputs) for this scenario would be all non-negative real numbers as well, since the total amount of chips in the bag cannot be negative. Therefore, the reasonable range would be [0, ∞).
2) A reasonable domain (input) for this scenario would be all non-negative real numbers, as time cannot be negative in this context. Therefore, the reasonable domain would be [0, ∞).
3) A reasonable range (outputs) for this scenario would be all non-negative real numbers as well, since the total amount of chips in the bag cannot be negative. Therefore, the reasonable range would be [0, ∞).
one more thing. reasonable domain for question number two is [0,3.5] or [0.7]
and reasonable outputs [0,7] [0,80 [0,3.5]
and reasonable outputs [0,7] [0,80 [0,3.5]
For the scenario you mentioned with the equation X + 2y = 7:
1) Reasonable domain (input) for the scenario would be [0, 7] or [0, 3.5]. Both stated intervals are correct, depending on whether you are considering the values for X individually (0 to 7) or the values of X/2 (0 to 3.5) which affect the total amount of chips in the bag (y).
2) Reasonable range (outputs) for the scenario would be [0, 7]. This is because the total amount of chips in the bag (y) cannot be negative and it also cannot exceed 7 based on the equation X + 2y = 7.
So, the correct choices would be:
- Reasonable domain: [0, 7] or [0, 3.5]
- Reasonable range: [0, 7]
1) Reasonable domain (input) for the scenario would be [0, 7] or [0, 3.5]. Both stated intervals are correct, depending on whether you are considering the values for X individually (0 to 7) or the values of X/2 (0 to 3.5) which affect the total amount of chips in the bag (y).
2) Reasonable range (outputs) for the scenario would be [0, 7]. This is because the total amount of chips in the bag (y) cannot be negative and it also cannot exceed 7 based on the equation X + 2y = 7.
So, the correct choices would be:
- Reasonable domain: [0, 7] or [0, 3.5]
- Reasonable range: [0, 7]