Answer:
The graph is shown below.
Step-by-step explanation:
Take the distance above surface of water as positive and negative for below the surface.
Given:
Distance of dock from the surface of water, 
Distance of hook from the surface of water, 
The surface of water is the reference point and hence it has a value of 0.
Now, on a number line, the values to the left of 0 mark is negative and values to the right are positive.
Therefore, H will lie on the left of 0 mark and D will lie on the right as shown below.
The domain of the function is the range of values of x that can be used to be replaced in the equation for it to become true. We are given that the value of f(x) should range only from -1 to 3. We evaluate each of the choices and see if the values of f(x) will fall within the range.
(a) -12; f(x) = 2^(-12) - 10 = -9.9999 (NOT AN ANSWER)
(b) -10; f(x) = 2^(-10) - 10 = -9.999 (NOT AN ANSWER)
(c) -9; f(x) = 2^(-9) - 10 = -9.999 (NOT AN ANSWER)
(d) -6; f(x) = 2^(-6) - 10 = -9.98 (NOT AN ANSWER)
(e) -2; f(x) = 2^(-2) - 10 = -9.75 (NOT AN ANSWER)
Hence, none of the choices will allow the value of f(x) to fall between -1 and 3.
Answer:
2
Step-by-step explanation:
<span>A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h = −16t2 + 36t + 5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 2.25 s; 5 ft
B. 1.13 s; 25.25 ft
C. 1.13 s; 27.5 ft
D. 1.13 s; 65.75 ft <====
</span>
