Question

The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter. h= -16t2+105t+3 Why is the height of the ball a function of time? Each value of time is associated with exactly one height. Each height of the ball is associated with exactly one moment in time. There is exactly one time at which the maximum height is attained. There is a maximum and minimum height that the ball can reach.

Answer 1

Answer:- Each value of time is associated with exactly one height.

Explanation:-

Given:- The equation
`h=-16t^2+105t+3` models the height in feet (h) of a softball t seconds after it is hit by a batter.

Here h is the height of the ball a function of time where time(t) is an independent variable and 'h' is a dependent variable which depends on time.

⇒h is the height of the ball a function of time ∵ each value of time is associated with exactly one height.

• A function is a relation which tells how a varying quantity(h) depends on another quantity(t).

Answer 2

each value of time is associated with exactly one height