Question

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a function. y=2x+2

Answer 1

The graph is attached.

`Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers`

The relation is function.

Explanation:

Find the x-intercept. Substitute
`y=0` into the equation and solve for "x". Then, this is:

`0=2x+2\\\\x=(-2)/(2)\\\\x=-1`

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

In this case "b" is:

`b=2`

Therefore, since the line passes through the points (
`(-1,0)` and
`(0,2)`, you can graph it. (Observe the graph attached)

Since it is a line, then the relation is a function, and the Domain and the Range of Linear Functions are:

`Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers`