The function h(t)=−16t^2+98t graphed below shows the height, in feet, of a kicked soccer ball as a function of time, in seconds.

A reasonable domain of the function is

A. {t| 2≤t≤66}

B. {t| 0≤t≤4.1}

C. {t| 0≤t≤66}

and a reasonable range of the function is

D. {h|0≤h<4.1}

E. {h|2≤h<66}

F. {h|0≤h≤66}

3 answers

A. {t| 2≤t≤66}

F. {h|0≤h≤66}
2)

The function h(x)=−x^2+6x models the path of water in a fountain in meters. The function represents the vertical distance, h, as a function of the horizontal distance, x. What is the value of h(2) ?

A. 2

B. 10

C. 18

D. 8

E. 16
To find the value of h(2), we substitute x = 2 into the function h(x):

h(2) = -2^2 + 6*2
h(2) = -4 + 12
h(2) = 8

Therefore, the value of h(2) is 8.

D. 8