Question

1. for a given height, there can be more than one corresponding amount of potential energy.

b) switch the input and the output of the function determined in part a. choose the correct answer below
a. height is related to potential energy
b. potential energy is related to height.
i) identify the input and the output.
input variable = potential energy
output variable = height
ii) explain how the example does or does not fit the definition of a function.
a. this is a function because the same potential energy could have resulted from different heights.
b. this is a function because there will be one potential energy for a given height.

Explanation:

In a function, each input should have exactly one output. If the input is potential energy and output is height, the same potential energy can come from different heights (e.g., an object can have the same potential - energy at different heights if other factors like mass and gravitational acceleration vary in a compensatory way). So this does not fit the definition of a function.

Answer:

Neither A nor B is correct. This is not a function because the same potential energy could have resulted from different heights.