The range of the function [tex]y = e^{4x}[/tex] is a set of all positive real numbers i.e R⁺ or (0,∞).
What is the range of a function?
The range is the set of all output values of a function when input is given.
Example: when the function f(x) = x² is given the values x = {1,2,3,...} then the range is {1,4,9,...}
The given function is:
[tex]y = e^{4x}[/tex], which is an exponential function
As we know, the range for an exponential function of the form [tex]y=a^x[/tex] is a set of all positive real numbers i.e R⁺ or (0,∞).
Therefore, the range of the function [tex]y = e^{4x}[/tex] is a set of all positive real numbers i.e R⁺ or (0,∞).
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