Question

Which is the range of the function f(x) =One-seventh(9)x?

Answer 1

Answer:

Option c: all real numbers greater than 0

Step-by-step explanation:

we have

$f(x)=\frac{1}{7}(9^{x})$

This is a exponential function of the form

$f(x)=a(b^{x})$

where

a is the initial value (y-intercept)

b is the base

r is the rate

b=(1+r)

In this problem we have

a=1/7

b=9

r=b-1 ----> r=9-1=8 -----> r=800%

using a graphing tool

see the attached figure

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

The domain is all real numbers

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

The range is all real numbers greater than zero

Answer 2

Answer: all real numbers greater than 0

Step-by-step explanation:

Range is the set of y values for which the function is defined                    using a graphing tool

The domain is the interval ----> (-∞,∞) All real numbers

For all positive and negative values for x the value of y is always positive

The range is the interval ---->(0,∞)

All real numbers greater than 0