Step-by-step explanation:
Considering the function
Analyzing option A)
Considering the function
Putting in the function
So, it is TRUE that when then the out put will be
Therefore, the statement that '' The graph contains '' is TRUE.
Analyzing option B)
Considering the function
The range of the function is the set of values of the dependent variable for which a function is defined.
Thus,
Therefore, the statement that ''The range of is
" is FALSE
Analyzing option C)
Considering the function
The domain of the function is the set of input values which the function is real and defined.
As the function has no undefined points nor domain constraints.
So, the domain is
Thus,
Therefore, the statement that ''The domain of is
'' is FALSE.
Analyzing option D)
Considering the function
As the base of the exponential function is less then 1.
i.e. 0 < b < 1
Thus, the function is decreasing
Also check the graph of the function below, which shows that the function is decreasing.
Therefore, the statement '' It is always increasing '' is FALSE.
Keywords: function, exponential function, increasing function, decreasing function, domain, range
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