if-f-x-x-2-x-R-then-1-the-function-is-one-to-one-2-the-function-is-not-one-to-one-chose-1-or-2-

Question Number 114167 by mohammad17 last updated on 17/Sep/20

i f f (x) = x^{2}, \forall x \in R

t h e n

(1) t h e f u n c t i o n i s (o n e - t o - o n e)

(2) t h e f u n c t i o n i s n o t (o n e - t o - o n e)

c h o s e (1) o r (2)

Commented by mohammad17 last updated on 17/Sep/20

h e l p m e s i r

Commented by bobhans last updated on 17/Sep/20

t h e f u n c t i o n o n e - t o - o n e i f

\forall x_{1}, x_{2} \in D_{f}, w h e r e x_{1} \neq x_{2} t h e n f (x_{1}) \neq f (x_{2})

i n y o u r c a s e f (x) = x^{2}, p u t x_{1} = 2, x_{2} = - 2

b u t f (2) = f (- 2), h e n c e f (x) = x^{2}

n o t o n e - t o - o n e

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