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skelet666 [1.2K]
3 years ago
7

What is the range of the function y=e^4x? y<0 y>0 y<4 y>4

Mathematics
2 answers:
Oliga [24]3 years ago
7 0

We have been given the function y=e^{4x}

We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

y=e^{4x}\\\ln y = \ln (e^{4x})\\\ln y =4x\\x=\frac{1}{4}\ln y

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.

Therefore, the range of the function is given by y>0

B is the correct option.

nirvana33 [79]3 years ago
7 0
This exponential function is increasing .

Whatever the value of x, y is always positive. So the range of y is all value greater than 0==> y>0
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