Practicing Success
Let $f: R→R$ be defined as $f(x)=5x^2.$ Choose the correct answer : |
f is one-one, onto f is many to one, onto f is one-one but not onto f is neither one-one nor onto |
f is neither one-one nor onto |
The correct answer is Option (4) → f is neither one-one nor onto $f(x)=5x^2$ (1) Not one one as at $x = -1, 1$ $f(-1)=5=f(1)$ but $1≠-1$ (2) Not onto as for $f(x) = -25$ $x^2=-5$ ⇒ no. x exists |