Respuesta :

Answer:

(0, ∞)

Step-by-step explanation:

As x becomes increasingly negative, e^x decreases towards zero (but never touches zero).  As x grows without bound, e^x increases without bound.

Thus, the range is (0, ∞).

Answer:

the range of function [tex]4e^{x}[/tex] is (0, ∞)

Step-by-step explanation:

Function range definition:-

The set of values of the dependent variable for which a function is defined

we need to find the range of function [tex]4e^{x}[/tex]

The range of an exponential function of the form [tex]n^{ax+b}+k[/tex] is [tex]f(x)>k[/tex]

[tex]k=0[/tex]

As x grows without bound, [tex]e^{x}[/tex] increases without bound.

Thus, the range is (0, ∞).