jacobpra2236
Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Ask your questions and receive precise answers from experienced professionals across different disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.