Question

What is the range of the exponential function shown below?

f(x) = 9.27

A: y<0
B:y>0
C: all numbers are real except 9
D: all real numbers

Answer 1

Option B
`y> 0`

Explanation:

we have

`f(x)=9(2^(x))`

This is a exponential function of the form

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

where

a is the initial value

b is the base

r is the rate

b=1+r

In this problem

a=9

b=2

r=2-1=1=100%

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

All real real numbers

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

`y> 0`

All real numbers greater than zero

see the attached figure to better understand the problem