Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $A=\{x:-1≤x≤ 1\}=B$ be a function $f: A→B$. Then find the nature of the following function.

$f(x)= |x|$

Options:

into

onto

one-one

bijective

Correct Answer:

into

Explanation:

$f:[1, 1] → [-1, 1]$, 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.