AP EAMCET202421 May 2024Evening ShiftMathematicsFunctionsActual
The real valued function f: R [ 5 2 , ) defined by f(x)=|2 x+1|+1|x-2| is
Options
- AOne-one function but not onto
- BOnto function but not one-one
- CBijection
- DNeither one-one function nor onto
Correct answer
B. Onto function but not one-one
Step-by-step solution
f: R [ 5 2 , ), f(x)=|2 x+1|+|x-2| f(x)= array lc -3 x+1, & x -1 2 x+3, & -1 2 x 2 3 x-1, & x 2 array . Clearly, any horizontal line will cut the graph atleast twice. f(x) is not one-one and clearly, f(x) is onto.