Function f is an exponential function. x −1 1 3 5 7 f(x) 14 4 64 1024 16,234 by what factor does the output value increase as each input value increases by 1? enter your answer in the box.

The answer is 4.

Step-by-step explanation:

I'm taking the test TwT

Function f is an exponential function.

x      −1     1     3          5           7

f(x)     14    4   64     1024     16,234

We use exponential function y =ab^x

We find out factor b

When x=1 then y=4, so equation becomes

When x=3 then y=64, so equation becomes

Divide the second equation by first equation

16 = b^2

Take square root on both sides

So b = +-4

f(x) is increasing, so b= 4

Answer is 4

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step-by-step explanation:

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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.