1)
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≤4.1}
{t| 0≤t≤4.1}
{t| 0≤t≤66}
{t| 0≤t≤66}
{t| 2≤t≤66}
{t| 2≤t≤66}
Question 2
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}
{h|0≤h<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}
{h|0≤h≤66}
2)
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
18
18
10
10
8
8
2
2
16
To find the value of h(2), we substitute x=2 into the function h(x)=−x^2+6x:
h(2) = -(2)^2 + 6(2)
h(2) = -4 + 12
h(2) = 8
Therefore, the value of h(2) is 8.