If you were to measure a person once a year, every year, from the ages of 10 to 25 would your ordered pairs of age and height represent a function?

no
yes

Hello there!

A function is a mathematical construction, where you put a number, the input, and the function gives another number, the output.

A function is defined with this rule:

an input number can't have more than one output number associated.

The ordered pairs of age and height, where the age is the input, can represent a function, because if you only measure once a year, for every age there is only one height associated. Then these pairs represent a function.

If you took the other way, where the input is the height and the output is the age, this pairs does not necessarily represent a function, because at two different ages you could have the same height, this means that one value of height has more than one age associated, and this does not represent a function.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this