Level:
Project ID:
2010013014
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 \(y=3\) is true?
The graph of \(f\) and the line have always a common point for all \(m\in\left(-3;\infty\right)\).
The graph of \(f\) and the line have always a common point for \(m =-3\).
The graph of \(f\) and the line have always a common point for all \(m\in\left(-\infty;-3\right)\).
The graph of \(f\) and the line have always a common point for all \(m\in\mathbb{R}\).