Question

i) identify the input and the output variables. input variable = height output variable = potential energy ii) write the function in the form \output is a function of the input.\ choose the correct answer below. a. the potential energy is a function of height. b. height is a function of potential energy iii) explain how the example fits the definition of a function. choose the correct answer below. a. for a given height, there is exactly one corresponding amount of potential energy b. for a given height, there can be more than one corresponding amount of potential energy

Explanation:

Step1: Identify input - output relationship

The problem clearly states input is height and output is potential energy.

Step2: Write function form

The correct form is "The potential energy is a function of height" as potential energy depends on height.

Step3: Check function definition

By the definition of a function, for a single - valued function, for a given input (height), there is exactly one corresponding output (amount of potential energy).

Answer:

i) Input variable: height; Output variable: potential energy
ii) A. The potential energy is a function of height.
iii) A. For a given height, there is exactly one corresponding amount of potential energy.