## Show that the function f: Z → Z defined by f (x) = x^2 + x for all x belongs to Z is a many-one function. Solve this f

Question

Show that the function f: Z → Z defined by f (x) = x^2 + x for all x belongs to Z is a many-one
function.

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1 month 2021-08-19T22:29:43+00:00 2 Answers 0 views 0

f:Z➡️Z

f(x)=x²+x

x€Z

so x belongs to z is many one

2. A function

is said to be many one function if for

### TOPROVE

The function

is a many-one function.

PROOF

Here we take two points

So

Thus for

### RESULT

Hence f is a many-one function