Study the pattern in each table. tell whether the relationship between x and y is linear, inverse, exponential, or neither, and explain your reasoning. if the relationship is linear, inverse, or exponential, write an equation for it.

i need with 6-9. me.

6.  y = 2·2^x — exponential

7.  y = (1/16)·4^x — exponential

8.  neither

9.  neither

Step-by-step explanation:

First of all, no table with an entry for 0 will be an inverse relation. When the ratio of one term to the next is a constant, the function is exponential. When the difference from one term to the next is a constant, the function is linear.

Here, some tricks are thrown in. The first two (6 and 7) are exponential functions. The common ratios are 2 and 4, respectively. The multiplier is the value of the function when x=0.

6.  y = 2·2^x

7.  y = (1/16)·4^x

8. The table for function 8 is that of what is known as a harmonic sequence. The denominator increases linearly. It is a kind of an inverse function, but not the kind we normally call an inverse function.

  y = 1/(x+1)

9. The function is not obviously linear, inverse, or exponential. The 6 points can always be described by a polynomial of degree n-1, where n is the number of points. The 5th-degree polynomial that fits these points is tedious to find, but can be found to be ...

  y = (120 + 103702x - 213975x^2 + 149665x^3 - 42225 x^4 + 4393x^5)/120

Since the function is not of one of the kinds listed, you are under no obligation to write an equation for it.

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.