Given:
To find:
The correct function.
Explanation:
Let us consider the function given in option D.
Differentiating with respect to x we get,
Substituting x = 2 in the function f(x), we get
Therefore, the given conditions are satisfied.
So, the function is,
Final answer: Option D
9514 1404 393
Answer:
Step-by-step explanation:
The zeros are the values of t that make the factors zero.
1 -t = 0 ⇒ t = 1
8 +16t = 0 ⇒ t = -8/16 = -1/2
The equation is used to model height after the ball is thrown. We don't expect it to be a good model before the ball is thrown (t < 0), so the zero in that region is extraneous.
Only the positive zero is in the function's domain, so that is the only one that is meaningful.
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When t = 0 (at the time the ball is thrown), the function value is ...
h(0) = (1 -0)(8 +0) = 8
The ball is thrown from a height of 8 feet.
