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

Answer:

The graph is attached.

$Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers$

The relation is function.

Step-by-step explanation:

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

 $0=2x+2\\\\x=\frac{-2}{2}\\\\x=-1$

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:

$Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers$