Suppose the function, g(x), is used to model the height, y , of a soccer ball, x seconds after the ball is kicked up in the air. the ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds . what would be an appropriate domain for g(x)?

The ball starts on the ground and travels in a parabolic shape as it reaches a maximum height and then returns to the ground . Suppose further that the ball reaches its maximum height of 15 feet in 2.2 seconds .

the ball reaches its maximum height of 15 feet in 2.2 seconds .

The ball takes 2.2 seconds to reach the maximum height from the ground

Ball takes another 2.2 seconds to reach the ground from the maximum height

So 2.2+ 2.2 = 4.4 seconds

The ball will be in the air for 4.4 seconds

So the domain of g(x) is 0 to 4.4 seconds

[0,4.4] is the domain in interval form

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step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value