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Class 12 · Mathematics
→If (f:\mathbb{R}\to(0,\infty)) and (f(x)=e^x), choose the correct statement about (f).
Class 12 · Mathematics
→If (A={1,2,3,4}) and (f:A\to\mathbb{N}) is defined by the remainder of (x \pmod{2}), what is (f)?
Class 12 · Mathematics
→If (A={2,4,6}) and (f:A\to\mathbb{N}) is defined by (f(x)=\frac{x}{2}), what is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=2|x|+1), which statement is correct?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3-x), choose the correct statement about (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the correct conclusion about (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^6+1), (f) is not one-one because
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\frac{3x-1}{5}), choose the correct statement for (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x+1), what is the conclusion for the same formula on all (\mathbb{R})?
Class 12 · Mathematics
→If (f:[1,\infty)\to\mathbb{R}) and (f(x)=x^2-2x+1), choose the correct option about (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|x+1|+3), is (f) one-one or not?
Class 12 · Mathematics
→If (A={1,2,3,4}) and (f:A\to A) has (f(x)=x), what is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=\sqrt{x^2}), choose the correct statement about (f).
Class 12 · Mathematics
→If (f:[0,\infty)\to[0,\infty)) and (f(x)=\sqrt{x}), what is (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=|2x|), what is the one-one nature of (f)?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=4x+4), what conclusion follows from (f(a)=f(b))?
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+x), choose the correct conclusion for (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^5), choose the correct option about (f).
Class 12 · Mathematics
→If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=(x+5)^2), (f) is not one-one. Which pair proves it?
Class 12 · Mathematics
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