Question

Let f(x)=$\begin{Bmatrix} x+1&\,\,\,-1\leq x\leq 0\\\ -x&\,\,\,\,\,0<x\leq1 \end{Bmatrix}$

• A. f(x) is discontinuous in [-1,1] and so has no maximum value or minimum value in [-1,1].
• B. f(x) is continuous in [-1,1] and so has maximum and minimum value
• C. f(x) is discontinuous in [-1,1] but still has the maximum and minimum value
• D. f(x) is bounded in[-1,1] and doesn't attain maximum or minimum value

Answer 1

Answer: (D)

f(x) is bounded in[-1,1] and doesn't attain maximum or minimum value

Answer 2

The function f(x) is bounded within the interval [-1, 1], and it does not attain a maximum or minimum value within this interval.

The correct option is(D): f(x) is bounded in[-1,1] and doesn't attain maximum or minimum value