Question

The graph of a function $y=f(x)$ is shown in the figure given below

If the equation $|f(2+|x|)|=k$ has exactly two distinct solutions then number of integral value(s) of $k$ is (are)

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

Answer: (C)

Graph of $|f(2+|x|)|$

For exactly two solutions of the equation $|f(2+|x|)|=k$, $k\in [2,3]$
$\therefore$ Number of integral values of $k$ is 2 .