Question

On a coordinate plane, a v-shaped line crosses the x-axis at (negative 2, 0), the y-axis at (0, negative 2), and the x-axis at (2, 0). What is the domain of the function on the graph? all real numbers all real numbers greater than or equal to –2 all real numbers greater than or equal to –5 all real numbers greater than or equal to 0

Answer 1

A on edg. all real numbers

Explanation:

Answer 2

Domain of the given function is all real numbers i.e. R.

Explanation:

It is given that the given graph is a V shaped graph.

It is crossing x - axis at
`(-2,0)`

then y-axis at
`(0,-2)` and

then again x - axis at
`(2,0)`.

If we try to plot the graph, the graph will be like it comes down from the negative x axis side and then intersect x axis at
`(-2,0)`, then intersects y axis at
`(0,-2)` and then rises towards the right side (i.e. positive x axis) intersecting the positive x axis at
`(2,0)`.

Please find attached graph for the same.

This graph denotes the following function:

`y=f(x)=|x|-2`

Domain of a function
`y =f(x)` is the values of
`x` that can be provided to the function.

Here function is a modulus function and from graph we can easily infer that it can have any Real Number, R as its input.

Modulus function has R as its domain.

So, the answer is:

Domain of given function is all Real Numbers, R