Armorikam
2021-09-24
The function y (in feet) is the height of an apple x seconds after falling from a tree. Determine the x- and y- intercepts
Layton
Skilled2021-09-25Added 89 answers
Given:
The height in y (in feet) of an apple x seconds after falling from a tree given by the function:
........(1)
Calculation:
The x-intercept of the given function is found by setting to and solving for in equation (1),
Now, here x stands for time and time cannot be negative, so the solution is .
Thus, the x-intercept of given function is (1.5, 0).
The x-intercept in this case provides the time in which apple will hit the ground.
The y-intercept of the given function is found by substituting in equation (1),
Thus, the y-intercept of given function is (0,36)
The y-intercept in this case gives the initial height of the apple.
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