Amelia is planning the trajectory of her next flight using the altitude and distance from Paris, France. She has determined her function to be f(x) = -4x + 102.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

Question

Amelia is planning the trajectory of her next flight using the altitude and distance from Paris, France. She has determined her function to be f(x) = -4x + 102.

Based on the situation above, describe any necessary restrictions to the domain and range. Provide justification for the restrictions.

anonymous · Answer

@agent0smith

anonymous · Answer

@Mertsj

anonymous · Answer

You should not go to 0 or below. and shouldn't go above 50,000 miles

anonymous · Answer

i dont know how to solve this..

anonymous · Answer

What I told you is about what i know. Sorry

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

If you graph f(x) = -4x + 102, you'll find it has the y intercept of (0,102) and an x-intercept of (25.5, 0)

You can find this x-intercept by plugging in f(x) = 0 and solving for x


f(x) = -4x + 102

0 = -4x + 102

-102 = -4x

-102/(-4) = x

25.5 = x

x = 25.5

jim_thompson5910 · Answer

So here is a blank xy axis

|dw:1392165479197:dw|

anonymous · Answer

thats the answer?

jim_thompson5910 · Answer

Then here is the graph

|dw:1392165498852:dw|

anonymous · Answer

i dont need the graph though right?

jim_thompson5910 · Answer

since x and f(x) must be positive, we know that we're only focusing on the first quadrant

jim_thompson5910 · Answer

no, but it helps to have a graph to see what's going on

anonymous · Answer

ok so was that the answer you gave to me before the graph?