Let f(x) be defined as follows :
`f(x)={{:(2x+1",",-3ltxlt-2),(x-1",",-2lexlt0),(x+2",",0lexlt1):}`
Which one of the following statements is correct in respect of the above function?

A function is defined as follows : f(x)={{:(-(x)/(sqrtx^(2))",",xne0),(0",",x=0):} Which one of following is correct in respect of the above function?

A function f:[1 6) to R is defined as follows. f(x)={(x+1, 1lexlt2), (2x-1, 2lexlt4), (3x^(2)-10, 4lexlt6):} Find the value of f(3)

A function f:[1 6) to R is defined as follows. f(x)={(x+1, 1lexlt2), (2x-1, 2lexlt4), (3x^(2)-10, 4lexlt6):} Find the value of f(5)

A function f is defined on the set of real numbers as follows : f(x)={:{(1+x,1lexlt2),(2x-1,2lexlt4),(3x-5,4lexlt6):} (i) Find the domain of the function. (ii) Find the range of the function. (iii) Find f(4). (iv) Is the function one-one ? Justify.

Let the function f (x) be defined as follows : f(x)={{:(x^(3)+x^(2)-10x",",-1lexlt0),(cosx",",0lexlt(pi)/(2).),(1+sinx",",(pi)/(2)lexlepi):} Then f(x) has

Let f(x) be a function defined in 1lexleoo by f(x)={{:(2-x" for "1lexle2),(3x-x^(2)" for "xgt2):} Consider the following statements : 1. f'(2+0) does not exist. 2. f'(2-0) does not exist. Which of the above statements is/are correct?

A function f:[1 6) to R is defined as follows. f(x)={(x+1, 1lexlt2), (2x-1, 2lexlt4), (3x^(2)-10, 4lexlt6):} Find the value of f(2)-f(4) .

If f(x)={(4, -3ltxlt-1),(5+x, -1lexlt0),(5-x, 0 lexlt2),(x^2+x-3, 2lexlt3):} then f(IxI) is