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).

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Answer:

We have the following function:

[tex]f(x)=-\frac{3}{x}[/tex]

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 [tex]x=0[/tex] 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 [tex]g(x)=\frac{3}{x}[/tex]

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

False

This is false since:

[tex]f(3)=-1\neq -27[/tex]

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

Answer:

its b and d

Step-by-step explanation:

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