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In simple words, a one-to-one function is a function such that for every input there is a unique output. An onto function is such that ALL the elements in the out are used, something which is not necessary for a one-to-one function.

Draw a set A, which contains 3 elements, a, b, c and d. Draw another set B, containing elements e, f, g and h.

Make an arrow from "a" to "d", "b" to "d", then "c" to "e" and "d" to "f".

Draw the two sets A and B again.

This time make an arrow from "a" to "d", "b" to "d", then "c" to "e" and "d" to "e". The fact that "f" in set B has not been used, DOES NOT makes this function an onto function.

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Q: What is difference between one to one function and onto function?
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Can an invertible function have more than one x-intercept?

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