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: (-∞,∞)

Respuesta :

Answer: Domain (-∞,∞) ; range: (0,∞)


Step-by-step explanation:

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

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

Answer:

Lesson 1 unit 5 exponential, logarithmic, pricewise functions

Step-by-step explanation:

1. A and D

2. C

3. B

4.c