Which is not a characteristic of an exponential parent function? O A. It passes through (0,1). O B. The domain is all real numbe

Question

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).

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Dâu 5 months 2021-08-27T23:17:48+00:00 1 Answers 8 views 0

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  1. Amity
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    2021-08-27T23:19:17+00:00
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    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:

    y=b^x

    Where, b>0.

    At x=0,

    y=b^0

    y=1

    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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