Question

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

all real numbers
all real numbers less than 0
all real numbers greater than 0
all real numbers less than or equal to 0

Answer 1

all real numbers greater than 0

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

Answer 2

all real numbers greater than 0

Explanation:

we have

`f(x)= (1)/(7) (9)^x`

we know that

Range is the set of y values for which the function is defined

using a graphing tool

see the attached figure

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,∞)

`y> 0`

All real numbers greater than 0