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Which is not a characteristic of an exponential parent function?
O A. It passes through (0,1).
O B. The domain is all real numbers.
O C. It goes through the origin.
O D. The range is positive real numbers (y > 0).

Sagot :

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:

[tex]y=b^x[/tex]

Where, [tex]b>0[/tex].

At [tex]x=0[/tex],

[tex]y=b^0[/tex]

[tex]y=1[/tex]

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.

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