Let y fx be the piecewise defined function given below fx

Let y = f(x) be the piecewise defined function given below. f(x) = {1 - x, if x

Solution

a) f(-2)

for values less than -1 , f(x) = 1 - x

==> f(-2) = 1 - (-2) = 3

b) f(1)

for the value x = 1 , f(x) = x +1

==> f(1) = 1 +1 = 2

c) f(x) = 2 for values between -1 and 1

and f(1) = 2 , f(-1) = 2

Hence f(x) = 2 for [-1 , 1]

d) Domain

function is defined for all x

==> Domain of f(x) = (- , )

Range

for any x , function value is greater than or equal to 2

==> Range of f(x) is [2 , )