Given:
The characteristic of an exponential parent function in the options.
To find:
Which is not a characteristic of an exponential parent function?
Solution:
The exponential parent function is:
Where, .
At ,
It means the function passes through the point (0,1) but it does not passes through the origin. So, the statement in option A is true but the statement in option C is false.
The domain of the exponential parent function is all real numbers and the range is positive real numbers (y > 0). So, the statements in the options B and D are true.
Therefore, the correct option is C.