0)
The graph of function f(x) models the height, in feet, of an object with respect to time, in seconds.
If g (x) = f (x) + 3/2 which of the following is the maximum height of the object on the graph of g (x)?
(1 point)
5/2
9/2
1
3
To find the maximum height of the object on the graph of g(x), we need to add the constant 3/2 to the maximum height of the object on the graph of f(x).
Therefore, if the maximum height of the object on the graph of f(x) is 5/2, then the maximum height of the object on the graph of g(x) would be:
5/2 + 3/2 = 8/2 = 4
Therefore, the maximum height of the object on the graph of g(x) would be 4.
So the closest option is 9/2, which is equal to 4.
Therefore, the correct answer is 9/2.
ae you sure
Let's reevaluate the problem to confirm the correct answer.
If g(x) = f(x) + 3/2, and we are given the options for the maximum height of the object on the graph of g(x), we need to consider the relationship between f(x) and g(x).
If g(x) = f(x) + 3/2, this means that g(x) is always 3/2 units higher than f(x).
Therefore, if the maximum height of the object on the graph of f(x) is x, the maximum height of the object on the graph of g(x) would be x + 3/2.
Let's consider the options:
- 5/2 + 3/2 = 8/2 = 4
- 9/2 + 3/2 = 12/2 = 6
- 1 + 3/2 = 2.5
- 3 + 3/2 = 3.5
After reevaluating the options, it appears that the correct answer for the maximum height of the object on the graph of g(x) is 6 (9/2).
Therefore, yes, I am confident that the correct answer is 9/2.
double check one more time
Let's double-check the calculation to make sure of the correct answer:
If g(x) = f(x) + 3/2, and the maximum height of the object on the graph of f(x) is x:
If x = 5/2, then the maximum height of the object on the graph of g(x) would be:
g(x) = f(x) + 3/2 = 5/2 + 3/2 = 8/2 = 4
If x = 9/2, then the maximum height of the object on the graph of g(x) would be:
g(x) = f(x) + 3/2 = 9/2 + 3/2 = 12/2 = 6
If x = 1, then the maximum height of the object on the graph of g(x) would be:
g(x) = f(x) + 3/2 = 1 + 3/2 = 2.5
If x = 3, then the maximum height of the object on the graph of g(x) would be:
g(x) = f(x) + 3/2 = 3 + 3/2 = 3.5
Upon reevaluation, it appears that the correct answer for the maximum height of the object on the graph of g(x) is 6 (9/2).
Therefore, the correct answer is 9/2.