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

Lesson 1 unit 5 exponential, logarithmic, pricewise functions

Explanation:

1. A and D

2. C

3. B

4.c

Answer 2

Answer: Domain (-∞,∞) ; range: (0,∞)

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,∞).