# Show that the fun

To prove: function is one-one and into

Given: f : N N : f (x) = x2

Solution: We have,

f(x) = x2

For, f(x1) = f(x2)

x12 = x22

x1 = x2

Here we can’t consider x1 = -x2 as , we can’t have negative values

f(x) is one-one

f(x) = x2

Let f(x) = y such that

y = x2

If y = 2, as

Then we will get the irrational value of x, but

Hence f(x) is not into

Hence Proved

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