How do i graph this? in picture below
include the graph

See the attached figure.

Step-by-step explanation:

The given function is called piecewise function which is the function that can be in pieces, i.e: defined by multiple sub-functions.

So, need to graph 2x in the interval [3,∞)

And graph -(1/3) x + 7  in the interval (-∞,3]

We will find that f(3) at the function 2x will be equal f(3) at the function -(1/3) x + 7

Which mean the function is continuous.

The attached figure represents the graph of function, it was graphed using the tables on the graph.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: