The range of f(x) = 5 • 2x is all positive real numbers.

True.

Step-by-step explanation:

if the function is:

F(x) = 5*2^x

when x is positive we have positive powers of 2, this is always growing, so we will have always positive results.

in the other hand, if x is negative, suppose x = -3, we will have:

F(-3) = 5*2^(-3) = 5(1/2^3)

is still positive, and for every value of x, we always will have that F(x) is positive, so the range is  0 < y < infinity

the range is all the positive real numbers.