For the question "Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x....". the best explanation of the accuracy of Geraldine’s statements and her conclusion is: The conclusion is incorrect because the range is limited to the set of integers. Option D. This is further explained below.
Generally, The formula f(x) = ax is the definition of an exponential function. In this formula, the input variable x appears in the form of an exponent. The exponential curve is dependent not only on the exponential function but also on the value that is used for x.
In conclusion, In response to the question "Geraldine is tasked with explaining the restrictions on the range of an exponential equation by making use of the function f(x) = 2x...." The most plausible justification for the correctness of Geraldine's claims and her conclusion is as follows: The conclusion is fallacious due to the fact that the range is restricted to the set of integers. option D.
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Complete Question
Geraldine is asked to explain the limits on the range of an exponential equation using the function f(x) = 2x. She makes these two statements:
1. As x increases infinitely, the y-values are continually doubled for each single increase in x.2. As x decreases infinitely, the y-values are continually halved for each single decrease in x.
She concludes that there are no limits within the set of real numbers on the range of this exponential function. Which best explains the accuracy of Geraldine's statements and her conclusion?
Statement 1 is incorrect because the y-values are increased by 2, not doubled.
Statement 2 is incorrect because the y-values are doubled, not halved.
The conclusion is incorrect because the range is limited to the set of integers.
The conclusion is incorrect because the range is limited to the set of positive real numbers.
