Question

What is the range of the function y=4e^x?
all real numbers greater than 0
all real numbers less than 0

Answer 1

Answer: The range of the exponential function y=4e^x is all real numbers greater than 0 (first option)

Solution: The range of a function is the values of the dependent variable "y". In the case of a exponential function of the form y=a^x, you will get for "y" numbers greater than 0:

y=e^x → Range is all real numbers greater than 0

and if you multiply by 4:

y=4e^x, you will obtain numbers greater than 0, then:

Range of the function y=4e^x is all the real numbers greater than 0.

Answer 2

For  $y=4e^x$, all the real numbers greater than 0 will give the range of the function.

As we know, the range of a function is the values of the dependent variable.

Which type of function is given?

Looking at our equation, we will find that, in the exponential equation $y=4e^x$

the value of variable x is dependent on y.

Therefore, for $y=e^x$,  

Range is all real numbers greater than 0.

Also, if we multiply by 4 or any other positive integer than, we will get numbers greater than 0.

Hence, For  $y=4e^x$, all the real numbers greater than 0 will give the range of the function.

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