Mathematics
Functions
Practice questions
If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is (f(-5))?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=x+|x|), what is the range of (f)?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\lfloor x\rfloor), which statement is correct?If (f:\mathbb{R}\to\mathbb{Z}) is defined by (f(x)=\lfloor x\rfloor), which statement about (f) is correct?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=\frac{x}{1+|x|}), what is its range?If \(f:\mathbb{R}\to\mathbb{R}\) is defined by \(f(x)=\frac{x}{1+x^2}\), why is (f) not one-one?Let (A={1,2,3}) and (B={4,5,6}). How many functions (f:A\to B) are both one-one and onto?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=2x-5), what is (f^{-1}(x))?If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are such that (f(x)=x^2+1) and (g(x)=3x-2), what is ((f\circ g)(x))?How many onto functions can be formed from (A={1,2,3,4}) to (B={a,b})?If (f:A\to B) is an onto function and (A) has (5) elements, what is the maximum possible number of elements in (B)?If (f:\mathbb{R}\to\mathbb{R}) is defined by (f(x)=|x|), what type of function is it?If (f:\mathbb{R}\to\mathbb{R}) and (g:\mathbb{R}\to\mathbb{R}) are given by (f(x)=x+2) and (g(x)=x^2), what is the value of ((g\circ f)(-3))?How many one-one functions can be formed from (A={1,2,3}) to (B={p,q,r,s})?If (f(x)=\frac{x-1}{x+1}), where (x\neq -1), what is the value of (x) for which (f(x)=2)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=4x+7), what is the value of (f^{-1}(f(10)))?If (f:A\to B) is one-one and (A) has (6) elements, what is the minimum number of elements required in (B)?If (f(x)=x^2-4x+7), what is the minimum value of (f)?If (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2), why is (f) not one-one?If (f:A\to A), where (A={1,2,3}), is a constant function, how many such functions are possible?