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

Respuesta :

Answer:

The graph is attached.

[tex]Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers[/tex]

The relation is function.

Step-by-step explanation:

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

 [tex]0=2x+2\\\\x=\frac{-2}{2}\\\\x=-1[/tex]

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

[tex]y=mx+b[/tex]

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

In this case "b" is:

[tex]b=2[/tex]

Therefore, since the line passes through the points ([tex](-1,0)[/tex] and [tex](0,2)[/tex], 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:

[tex]Domain:\ All\ Real\ Numbers\\\\Range:\ All\ Real\ Numbers[/tex]

Ver imagen luisejr77