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Class 12 · Mathematics
→If f(x) = 3x − 1, what is the value of f(2) + f(0)?
Class 12 · Mathematics
→For the function (f:R\to R), (f(x)=x+5), what is (f(0))?
Class 12 · Mathematics
→If (f(x)=x^2) and the domain is ({-2,-1,0,1,2}), what is the range?
Class 12 · Mathematics
→Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
Class 12 · Mathematics
→If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
Class 12 · Mathematics
→If (f={(1,2),(2,4),(3,6)}), what is the domain of (f)?
Class 12 · Mathematics
→In a function (f:A\to B), what is (B) called?
Class 12 · Mathematics
→In a function (f:A\to B), what is (A) called?
Class 12 · Mathematics
→If (f(x)=2x+3), what is the value of (f(4))?
Class 12 · Mathematics
→If (f:A\to B) is a function, what condition is necessary for every element of (A)?
Class 12 · Mathematics
→On a set (A), which is the smallest equivalence relation?
Class 12 · Mathematics
→On a set (A), which is the largest equivalence relation?
Class 12 · Mathematics
→If (A={1,2,3}), (R) has classes ({1,2},{3}), and (S) has classes ({1},{2,3}), why is (R\cup S) not an equivalence relation?
Class 12 · Mathematics
→If (R) and (S) are equivalence relations on a set (A), how can the equivalence classes of (R\cap S) be understood?
Class 12 · Mathematics
→On positive integers, (aRb) if and only if (a) and (b) have the same power of (2), that is, (a=2^k m) and (b=2^k n), where (m,n) are odd. What forms the equivalence class of (12)?
Class 12 · Mathematics
→On all positive real numbers, (aRb) if and only if (\frac{a}{b}) is an integral power of (2). Which is the equivalence class of (3)?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (\cos^2 a=\cos^2 b). Which of the following must be in the equivalence class of (\frac{\pi}{3})?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (\sin^2 a=\sin^2 b). Which of the following numbers belongs to the equivalence class of (0)?
Class 12 · Mathematics
→On all real numbers, (aRb) if and only if (a^2+2a=b^2+2b). Which is the equivalence class of (-1)?
Class 12 · Mathematics
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