Question

Which is the domain of the function f(x) = Negative five-sixths (three-fifths) Superscript x?

Answer 1

A

Explanation:

I took the exam

Answer 2

The domain is all real numbers

Explanation:

we have

`f(x)=-(5)/(6)((3)/(5))^x`

This is a exponential function of the form

`f(x)=a(b)^x`

where

a is the initial value

b is the base

r is the rate

b=(1+r)

In this problem we have

a=-5/6

b=3/5=0.6

r=0.6-1=-0.4=-40%

see the attached figure to better understand the problem

The domain is the interval -----> (-∞,∞)

The domain is all real numbers

The range is the interval ----> (-∞,0)

The range is all real numbers less than zero