2010013016

Level: 
Project ID: 
2010013016
Source Problem: 
Accepted: 
0
Clonable: 
1
Easy: 
0
Let \(f\) be a function defined by \(f(x)=2^{x+m}-m\), 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 \(m\in\left(2;\infty\right)\).
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 \(m=2\).
The graph of \(f\) and the line do not have a common point for any \(m\in\left(-\infty;2\right)\).