Question

What are the characteristics of a function and how can we identify them?

Answer 1

Identify the input values.
Identify the output values.
If each input value leads to only one output value, the relationship is a function. An easy way to determine whether a function is a one-to-one function is to use the horizontal line test on the graph of the function. To do this, draw horizontal lines through the graph. If any horizontal line intersects the graph more than once, then the graph does not represent a one-to-one function.

Answer 2

A function is a mathematical relationship where all inputs must have exactly one output. If there is more then one output for one input, then the relationship is not a function.

x is most of the time the input and y the output for an equation:

y = 2x

of course the input and output could be any variable.

Explanation:

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