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Functions question

2020 · Shift 1 · Q20

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PYQ Library
JEE Advanced
Mathematics
Functions
2020 · Shift 1 · Q20

Functions question

2020 · Shift 1 · Q20

JEE AdvancedMathematicsFunctionsMCQ+3 / −1

If the function f : R

\to

R is defined by f(x) = |x| (x

-

sin x), then which of the following statements is TRUE?

A
f is one-one, but NOT onto
B
f is onto, but NOT one-one
C
f is BOTH one-one and onto
D
f is NEITHER one-one NOR onto

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