Question

What are the domain and range for the exponential function f(x)=ab^x , where b is a positive real number not equal to 1 and a > 0? Help please!
O domain: ( -∞,∞) ; range: (-∞,0)
O domain: (-∞,0] ; range: (-∞,∞)
O domain (-∞,∞) ; range: (0,∞)
O domain (0,∞) ; range: (-∞,∞)

Answer 1

Answer: Domain (-∞,∞) ; range: (0,∞)

Step-by-step explanation:

1. The exponential functions with the form $f(x)=ab^{x}$ has domain of all real numbers, becaure there is no values in the set of real number for which the value of $x$ is not define. When $x$ approches to ∞, the function approches to ∞.

2. When $x$ approches to -∞, the function approches to 0 but never touches it. This means  that $y$ is always greater than zero ($y>0$). Therefore, the range of the function is (0,∞).