Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
be a continuous onto function satisfying
. If
and
in
, then the minimum number of roots of the equation
is
.
Text Solution
Verified by ExpertsThe correct answer is:
3
(3)

Therefore,
is an odd function.
Since points
and
lie on the curve,
and
will also lie on the curve.
For minimum number of roots, graph of continuous function
is as follows:

From the above graph of
, it is clear that equation
has at least three real roots.
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