Which statements are true for the function y = |x| - 2? select all that apply.

the value of the function is never negative.
its graph has a v-shape.
there is only one input for which the output is 0.
there are two inputs for which the output is 5.
the vertex of its graph is at (0, -2).

The correct options are,

Its graph has a V-shape.

There are two inputs for which the output is 5.

The vertex of its graph is at (0, -2).

Step-by-step explanation:

Here, the given function is,

------(1)

Which is an absolute function,

Since, the graph of an absolute function is always V shaped,

⇒ The graph of the given function is V-shaped,

Also, the range of the function is  

So, the value of the function can be negative,

Now, for y = 0,

Thus, there are two inputs for which the output is 0,

Also, for y = 5,

Thus, there are two inputs for which the output is 5,

Since, if an absolute function is,

------(2)

Then, the vertex of the function is (h,k),

By comparing equation (1) and (2),

The vertex of the given function is, (0, -2 )

answer: bea's uncle is 25 years old.

step-by-step explanation:

given the equation , we can say that the variable "x" represents the age of bea's uncle. then to find his age, we need to solve for "x":

we must add 15 to both sides of the equation:

now we need to divide both sides of the equation by 3:

therefore, we can conclude that bea's uncle is 25 years old.