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

@Hero I don't know what this means

anonymous · Answer

Does it have anything to do with putting different numbers into x and finding the outcome?

hero · Answer

Yes, but when you're dealing with distance and altitude, all values must be positive, so...

anonymous · Answer

So a restriction could be that, x wouldn't be over 25.5?    25.5 * 4 = 102

anonymous · Answer

25.5 * -4 = -102 i mean

hero · Answer

Try graphing the equation first. Then we'll talk about restrictions.

anonymous · Answer

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I looked all in my lesson but it doesn't explain how to graph functions. I probably should know how but i forogt

anonymous · Answer

Also read through the domain and range in the lesson but doesn't make any sense

hero · Answer

The domain is the set of all x values that are valid for the function. 
The range is the set of all y values that are valid for the function.

hero · Answer

To graph a line, you need two points. The easiest two points to plot are the x and y intercepts.

anonymous · Answer

okay

anonymous · Answer

oh i see so, x = 1 y = 98, x = 2 y = 94, x =3 y = 90 etc?

hero · Answer

Right now, if you tried to graph f(x) = -4x + 102, it would be off the scale. You have to do something like this to graph:

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