, Prove thethe fancl1ση f: R→ Ris many ove into

1.	, Prove thethe fancl1ση f: R→ Ris many ove into
Answer» If we show for one element it will works. So, given f(x) = x², Domain is R So, Consider x = 1 and x = -1 f(1) = 1² = 1 f(-1) = (-1)² = 1 So, two different elements have same image. Therefore function is many one. For into, consider -1 from rangeAs there exists no x such that x² = - 1 so function is into

Answer»

If we show for one element it will works.

So, given f(x) = x²,

Domain is R

So, Consider x = 1 and x = -1

f(1) = 1² = 1

f(-1) = (-1)² = 1

So, two different elements have same image. Therefore function is many one.

For into, consider -1 from rangeAs there exists no x such that

x² = - 1 so function is into

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