Which of the following is true regarding functions Check all that apply

{} the vertical line test may be used to determine whether a function is one- to- one.

{} the horizontal line test may be used to determine whether a function is one- to- one.

{} a function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

{} a sequence is a function whose domain is the set of real numbers

Statement: if two points are given, then exactly one line can be drawn through those two points. which geometry term does the statement represent? defined term postulate theorem undefined term

The amount of energy it takes to lift a box might be a function of which of the following

Asmall (but heavy) particle placed in a glass of water will follow a zigzag motion because the particle will bounce off of the water molecules it meets. this is called brownian motion. a physicist simulates this on a computer, by varying the distance a particle can travel (called the mean free length), on average, before it collides with a water molecule and assigning the change in motion to be one of 8 directions, each with a similar probability. by running the simulated particle (with the same mean free length) many times she determines that it should take 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. next she lets a real particle fall through a glass of water and finds that it took 18 seconds. what does she conclude, and why?