A rock is thrown from one side of a river to another. The function h(t) = −16t2 + 80t + 30
gives the height in inches of the rock t seconds after it has been thrown.(4 points)
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Find h(4)
. Response area
What does h(4)
represent in the context of this problem? Response area
Does it make sense to find h(−4)
in the context of this problem? Response area
What is a reasonable domain given the context of this problem?
h(4) = -16(4)^2 + 80(4) + 30 = -16(16) + 320 + 30 = -256 + 350 = 94
h(4) represents the height of the rock 4 seconds after it has been thrown.
No, it does not make sense to find h(-4) in the context of this problem because time cannot be negative in this situation.
A reasonable domain for this problem would be the set of all non-negative real numbers, since time cannot be negative and represents the input variable in this function.