Exponential functions

2010013017

Level: 
B
Let f be a function defined by f(x)=(12)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∈(−∞;2).
The graph of f and the line do not have a common point for any m∈[2;∞).
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∈(2;∞).

2010013016

Level: 
B
Let f be a function defined by f(x)=2x+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∈(2;∞).
The graph of f and the line do not have a common point for any m∈(−∞;2].
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∈(−∞;2).

2010013015

Level: 
B
Let f be a function defined by f(x)=2x+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∈(−∞;−3).
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∈(−3;+∞).
The graph of f and the line have always a common point for all m∈R.

2010013014

Level: 
B
Let f be a function defined by f(x)=(12)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∈(−3;∞).
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∈(−∞;−3).
The graph of f and the line have always a common point for all m∈R.