Which exponential function goes through the points (1, 16) and (4, 128)?

Here is the complete question (attachment).

The function which represent the given points are

Step-by-step explanation:

We know that a general exponential function is like,

We can find the answer by hit and trial method by plugging the values of coordinates.

Here we are going to solve this with the above general formula.

So as the points are then for

Can be arranged in terms of the general equation.

...equation(1) and ...equation(2)

Plugging the values in equation 2.

We have

Plugging in equation 1.

We have

Comparing with the general equation of exponential and

So the function which depicts the above points =

From theoption we have B as the correct answer.

i think it is c, not positive though

step-by-step explanation:

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.