1. Tardigrade
  2. Question
  3. Mathematics
  4. The graph of a function y=f(x) is shown in the figure given below <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/mathematics/fc37017985b116585cc859adbab0756d-.png /> If the equation | f (2+| x |)|= k has exactly two distinct solutions then number of integral value(s) of k is (are)

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The graph of a function $y=f(x)$ is shown in the figure given below
image
If the equation $| f (2+| x |)|= k$ has exactly two distinct solutions then number of integral value(s) of $k$ is (are)

Relations and Functions - Part 2

Solution:

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