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Class 12MathematicsRelations and FunctionsFunctionsHard
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If (f:\mathbb{R}\to\mathbb{R}) is an even function and (f(-6)=11), what is (f(6))?

Answer and explanation

Correct answer: (11)

Step 1: For an even function, (f(-x)=f(x)). Step 2: Since (f(-6)=f(6)), we get (f(6)=11). Step 3: For even functions, changing the sign of the input does not change the value.

Related tags

FunctionsEven-FunctionValueRelations And FunctionsMathematicsClass 12 Mcq
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  3. 3In a function (f:A\to B), what is (A) called?
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  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
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