Question

Consider function m.

A line graph depicts x on the horizontal axis versus m of x on the vertical axis. A curve declines from (negative 4, 8) through (negative 2, 0), passes through (0, 0) and (4, negative 8), and rises through (6, 8).

What is the domain of function m?

Answer 1

The domain of the function (m) is
`(+\infty, \infty )`

How to identify the domain of a polynomial equation on the graph.

The domain of a function tells you the x-values of the function. A function is a special relationship between the x and y values.

In the given graph, the end behavior towards the left is up and the end behavior towards the right is up.

So; to the right:

`x\to +\infty, y\to +\infty`

To the left;

`x\to +\infty, y\to +\infty`

To determine the graph, we need to consider the x-intercepts from the graph, the multiplicity, and the overall degree of the polynomial.

The domain of the graph is all real numbers except where the expression is undefined.

From the graph, the domain of the graph is
`(+\infty, \infty )`