Identify the domain and range for problems 6 and 7 a ball was thrown into the air with an initial velocity of 72 feet per square second. The height of the ball after t seconds is represented by the equation h = 72𝑡 – 16𝑡2.
+128474 h = -16t^2 + 72t
The time that the ball is at the max height can be found as
-72 / [ 2 (-16) ] = -72 / -32 = 9/4 sec = 2.25 sec
And the max height is
-16(9/4)^2 + 72 (9/4) = 81 ft
The ball wil fall back to the ground at 2(9/4) = 18/4 = 9/2 sec = 4.5 sec
So.....the domain is from 0 seconds to 4.5 seconds
And the range is from 0 ft to 81 ft
Hre's a graph : https://www.desmos.com/calculator/i1dbl46fd9
