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

Question

asked Sep 21, 2020 203k views

1 Answer

Nidhi Dadiya · Answer 1 · 2020-09-27T08:04:54+0000

Answer:

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:

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