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40. If you are flying in an airplane at an altitude ofh h miles, on a clear day you can see a distance ofd d
40.If you are flying in an airplane at an altitude ofh
h
miles, on a clear day you can see a distance ofd
d
miles to the horizon, whered
=
7920
h
.
d=7920h.
a.Write the formula fordas a power function in the formf(x)=kxp
b. Choose a reasonable domain for the functiond=f(h)and graph the function.
- At what altitude will you be able to see for a distance of100miles? How high is that in feet?
- 51.Match each function with the description of its graph in the first quadrant.f(x)=x2
- f(x)=x2
- f(x)=x2
- f(x)=x1/2
- Increasing and concave up
- Increasing and concave down
- Decreasing and concave up
- Decreasing and concave down
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