\[
\begin{array}{l}
\text { Let } \\
\qquad\left\{\begin{array}{ccc}
\left.()^{2}\right)= \\
3^{x} & ; & x \leq 0 \\
(x+\lambda) & ; & 0<x<2 \\
3+(x-2)^{2} & ; & x \geq 2
\end{array}\right.
\end{array}
\]
is continuous for all \( x \in R \), then which of the following is true
(A) Range of \( f(x) \) is \( (0, \infty) \)
(B) \( f(x)=1 \) has one solution
(C) \( f(x)=|f(x)| \) for all \( x \in R \)
(D) \( f(x)=1 \) has two solutions
Mark for Review \& Next