Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Show that the function f(x) = 
– sin π x + 3 takes the value 
within the interval
[–2, 2].
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
f(x) is continuous and 
∈ [f(–2), f(2)], by intermediate value theorem (IVT), there exists a point
c ∈ (–2, 2) such that f(c) = 
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