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The table below represents the height of a shot basketball, f(x), based on its horizontal position in relation to the basket, x.
x f(x)
-24 7
-20 12
-16 15
-12 16
-8 15
-4 12
0 7
If all quantities are in feet, what is the height of the basketball as it passes the hoop?
Enter your response here:
feet
The height of the basketball as it passes the hoop is 15 feet.
To find the height of the basketball as it passes the hoop, we need to look for the horizontal position (x) where the height (f(x)) is highest.
Looking at the table, we see that the highest height recorded is 16 feet, which corresponds to a horizontal position of -12 feet.
Therefore, the height of the basketball as it passes the hoop is 16 feet.
To find the height of the basketball as it passes the hoop, we need to find the corresponding value of f(x) when x is equal to 0.
By looking at the given table, we can see that when x is 0, the corresponding value of f(x) is 7 feet.
Therefore, the height of the basketball as it passes the hoop is 7 feet.