Let a mapping f be defined from [ - (1/2) , (1/12) ] to [ - (1/2) , (1/12) ] . Which one of the following f defines a one-one onto mapping?

Question

Let a mapping f be defined from [ - (1/2) , (1/12) ] to [ - (1/2) , (1/12) ] . Which one of the following f defines a one-one onto mapping? (A) f (x) = x (B) f (x) = (1/2) x  (C) f (x) = x2  (D) f (x) = | (1/2) x |

Tardigrade Admin · Accepted Answer

Correct answer is (b) f (x) = (1/2) x

Q. Let a mapping f be defined from $[- \frac{1}{2}, \frac{1}{12}]$ to $[- \frac{1}{2}, \frac{1}{12}]$ . Which one of the following $f$ defines a one-one onto mapping?

$f (x) = x$

$f (x) = \frac{1}{2} x$

$f (x) = x^{2}$

$f (x) = ∣ \frac{1}{2} x ∣$

Correct answer is (b) $f (x) = \frac{1}{2} x$

Q. Let a mapping f be defined from [−21​,121​] to [−21​,121​] . Which one of the following f defines a one-one onto mapping?

f(x)=x

f(x)=21​x

f(x)=x2

f(x)=∣21​x∣