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

@mathstudent55

mathstudent55 · Answer

The variables f(x) and y are both to the first power. That means the graph is a straight line.
Also, there is no variable in a denominator or in a radical, so there are no restrictions on x or y. The domain and range are both all real numbers.