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  4. If A = [-1,1] then f: A arrow A defined by f(x) = sin π x is

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Q. If $A = [-1,1]$ then $ f : A \rightarrow A$ defined by $f(x) = \sin \, \pi x$ is

Relations and Functions - Part 2

Solution:

f(0) = f(1) = 0 $\Rightarrow $ f is not one-one
Rang of f = [ - 1 , 1 ] = codomain $\Rightarrow $ f is onto