Consider the following graph of f(x), f: mathbbR → mathbbR: Statement 1: The function is one-one…
Consider the following graph of $f(x)$, $f: \mathbb{R} \to \mathbb{R}$:
Statement 1: The function is one-one function.
Statement 2: The function is onto function.
(a)Statement 1 is true and Statement 2 is false.
(b)Statement 2 is true and Statement 1 is false.
(c)Both the statements are true.
(d)Both the statements are false.
Answer
Answer
Correct option: (a)
Answer: (a) Statement 1 is true and Statement 2 is false.
Every horizontal line cuts the graph at most once, so $f$ is one-one. The graph never reaches $y=0$, so the range is not $\mathbb{R}$ and $f$ is not onto.
