Agraph passes through the points (0,2), (2,6), and (3, does this graph represent a linear function or a nonlinear function explain your answer in words

The graph of the function is nonlinear.

Step-by-step explanation:

If the points (0,2), (2,6) and (3,12) lie on the same straight line then the area of the triangle formed by those points will be zero.

So, we have to find the area of a triangle formed by those points and if we get the area to be zero, then only the graph though the above points will represent a linear function otherwise the graph will be nonlinear.

Now, area Δ =

= 4 sq. units ≠ 0

Hence, the graph of the function is nonlinear. (Answer)

We know, that the area of the triangle formed by the points ( is given by  

Δ =

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v

my guess would be b and d, but i didn’t actually get out the pen and paper. lol