Question

Which statement is true of the function f(x) = -3/x? Select three options.

The function is always increasing.

The function has a domain of all real numbers.

The function has a range of {yl-
The function is a reflection of y = 3.

The function passes through the point (3,-27).

Answer 1

its b and d

Explanation:

i know

Answer 2

We have the following function:

`f(x)=-(3)/(x)`

The graph of this function has been plotted below. So lets analyze each statement:

1. The function is always increasing.

False

As you can see x increases from -∞ to 0 and decreases from 0 to +∞

2. The function has a domain of all real numbers.

False

The function is undefined for
`x=0` since x is in the denominator.

3. The function has a range of {yl-

Statement is unclear but the range is the set of all real numbers except zero.

4. The function is a reflection of y = 3.

False

The function is a reflection in the x axis of the function
`g(x)=(3)/(x)`

5. The function passes through the point (3,-27).

False

This is false since:

`f(3)=-1\\eq -27`

Note. As you can see those statements are false, so any of them is true, except item 3 that is unclear.