The function h(t)=−16t2+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 (1 point) Responses {t| 0≤t≤66} {t| 0≤t≤66} {t| 2≤t≤66} {t| 2≤t≤66} {t| 0≤t≤4.1}
The correct answer is {t| 0≤t≤4.1}
and a reasonable range of the function is (1 point) Responses {h|0≤h≤66} {h|0≤h≤66} {h|2≤h<66} {h|2≤h<66} {h|0≤h<4.1}
The correct answer is {h|0≤h<66}
The function h(x)=−x2+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) ? (1 point) Responses 8 8 2 2 16 16 10 10 18 18
To find the value of h(2), we need to substitute x=2 into the function h(x)=−x^2+6x.
Therefore, h(2) = -(2)^2 + 6(2) = -4 + 12 = 8.
Therefore, the value of h(2) is 8.