Practicing Success
Let $A=\{x:-1≤x≤ 1\}=B$ be a function $f: A→B$. Then find the nature of the following function. $f(x)= |x|$ |
into onto one-one bijective |
into |
$f:[1, 1] → [-1, 1]$, 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. |