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

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.

All real numbers greater than 0

Step-by-step explanation:

We have been given the function

Range is the set of y values for which the function is defined.

Now, solve the equation for x and then see which real values of y we can take.

Divide both sides by 4

Take natural log both sides

logarithmic function is defined for positive values only.

Thus, we have

Hence, range is all real numbers greater than 0