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Class 12MathematicsRelations and FunctionsFunctionsHard
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If (f(x)=x^2-4x+7), what is the minimum value of (f)?

Answer and explanation

Correct answer: (3)

Step 1: Complete the square: (x^2-4x+7=(x-2)^2+3). Step 2: The least value of ((x-2)^2) is (0). Step 3: Therefore, the minimum value of the function is (3).

Related tags

Quadratic-FunctionRangeMinimum-ValueFunctionsRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1If (f:A\to B) is a function, what condition is necessary for every element of (A)?
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  3. 3In a function (f:A\to B), what is (A) called?
  4. 4In a function (f:A\to B), what is (B) called?
  5. 5If (f={(1,2),(2,4),(3,6)}), what is the domain of (f)?
  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
  7. 7Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
  8. 8If (f(x)=x^2) and the domain is ({-2,-1,0,1,2}), what is the range?
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  10. 10If f(x) = 3x − 1, what is the value of f(2) + f(0)?
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