Level:
Project ID:
2010013017
Source Problem:
Accepted:
0
Clonable:
1
Easy:
0
Let \(f\) be a function defined by \(f(x)=\left(\frac12\right)^{x-m}+m\), where \(m\) is a parameter. Which of the following statements about the function \(f\) and the line \(y=2\) is false?
The graph of \(f\) and the line do not have a common point for any \(m\in\left(-\infty;2\right)\).
The graph of \(f\) and the line do not have a common point for any \(m\in\left. [ 2;\infty\right)\).
The graph of \(f\) and the line do not have a common point for \(m=2\).
The graph of \(f\) and the line do not have a common point for any \(m\in\left(2;\infty\right)\).