Mathematics
Functions
Practice questions
What is the range of (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-6x+10)?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), what is the correct statement about (f)?If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=n+5), what type of function is (f)?If (f:\mathbb{Z}\to\mathbb{Z}), (f(n)=2n), which statement is correct?If (f:\mathbb{N}\to\mathbb{N}), (f(n)=n+1), what type is (f)?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2+2x), is it one-one?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=|x-2|+3), what is the range of (f)?If (f(x)=|x|) and (g(x)=x-1), what is ((f\circ g)(x))?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-3x), which is a correct proof that it is not one-one?If (f:A\to B) is onto and (B) has (5) elements, how many elements will (f(A)) have?If (f:A\to B) is one-one and (A) has (6) elements, how many elements will (f(A)) have?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^2-1), why is (f) not onto?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\frac{x}{1+|x|}), what is the range of (f)?If (f(x)=\frac{2x+3}{x-1}), then for (x\ne1), what is (f^{-1}(x))?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^5+x^3+x), what type is (f)?If (f:\mathbb{R}\to\mathbb{R}), (f(x)=\begin{cases}x+1,&x\ge0\x-1,&x<0\end{cases}), which statement is correct about (f)?Which statement is correct about (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3-6x^2+12x+1)?Let \(f:A\to B\) be a function. Which property is necessary and sufficient for \(f^{-1}:B\to A\) to also be a function?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^3+x), what is the most accurate type of the function?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2+1), which statement is correct?