Let $A=\{x:-1≤x≤ 1\}=B$ be a function $f: A→B$. Then find the nature of the following function.
$f(x)= |x|$
Answer & explanation
Correct answer: option 1
$f:[1, 1] → [-1, 1]$, where $f(x) = |x|$.
Graph of the function is as shown in the following figure.
From the graph we observe that f(x) is many-one.
Also, we observe that the range is [0, 1]. Hence f(x) is into.