For the piecewise function below, which of the following statements is true

From the definition of piecewise function we find that

f(x) has been given values for x =-1 and x=1

Thus f is defined for both x =-1 and x=1

When x =-1, we have f(x) =

When x = 1, we have f(x) = -x

Hence f(1) = -1

Comparing f(-1) = 3 and f(1) =-1 we find that

f(-1)>f(1)

Hene option 1 is right.

Option 2 is wrong since f(-1) is not < f(1)

Option 3 is wrong since f(-1) and f(1) are not equal

Option 4 is wrong since f is defined for both x =-1 and 1.

FInal answer is option 1