‹ Back to the paper
Choose the correct option.
The function f: mathbbR → mathbbR defined by f(x) = sin(3x + 2), ∀ x ∈ mathbbR is:
The function $f: \mathbb{R} \to \mathbb{R}$ defined by $f(x) = \sin(3x + 2)$, $\forall x \in \mathbb{R}$ is:
- (a)One-One
- (b)Onto
- (c)Neither one-one nor onto
- (d)one-one but not onto.
Answer
Answer
Correct option: (c)
Answer: (c) Neither one-one nor onto
$\sin(3x+2)$ is periodic, so different $x$ give the same value: not one-one.
Its range is $[-1,1] \ne \mathbb{R}$: not onto.