Answer:
y>0
Step-by-step explanation:
This is because no matter what x-value you enter, the fact that it's an even exponent will make the y-value always positive. And regardless of the 4 in the exponent, you can still have values less than 4 (but still positive).
The range of the function [tex]y = e^{4x[/tex] is y>0. Hence, option B is correct.
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
This is because no matter what x-value you enter, the fact that it's an even exponent will make the y-value always positive. And regardless of the 4 in the exponent, you can still have values less than 4 (but still positive). The graph of the function is also attached with the answer below.
Hence, option B is correct.
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