Question

the table shows the trajectory of a pitch in baseball, where x represents the horizontal distance the ball travels in feet and f(x) represents the height of the ball in feet.

x	f(x)
14	4.25
28	5.5
42	6.25
56	6.5
70	6.25

the pitcher releases the ball at the highest point in the curve, and the catcher is located at the y - axis. according to the table, how high is the ball when it reaches the catcher?
○ 0 feet
○ 2.5 feet
○ 6.5 feet
○ 56 feet

Explanation:

The catcher is at the y - axis, which corresponds to \(x = 0\) in the table. Looking at the table, when \(x = 0\), the value of \(f(x)\) (the height of the ball) is 2.5 feet. So the height of the ball when it reaches the catcher is 2.5 feet.

Answer:

B. 2.5 feet