2010013017

SubArea:

Level:

Project ID:

2010013017

Source Problem:

Accepted:

Clonable:

Easy:

Let

f

be a function defined by

f (x) = {(\frac{1}{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 (- \infty; 2)

The graph of

f

and the line do not have a common point for any

m \in [2; \infty)

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 (2; \infty)

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