Write an exponential function y=ab^x for a graph that includes (2,4) and (3,16)

9514 1404 393

  y = (1/4)4^x

Step-by-step explanation:

In general, you can use a 2-point form to write the exponential function for points (x1, y1) and (x2, y2) as ...

  y = y1·(y2/y1)^((x -x1)/(x2 -x1))

Using the given points, this becomes ...

  y = 4·(16/4)^((x -2)/(3 -2)) = 4·4^(x-2)

We can eliminate the exponent arithmetic by making use of a couple of rules of exponents.

  y = 4·(4^x)(4^-2) = (4^-1)(4^x)

  y = (1/4)(4^x)

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

happy to

pls mark as brainliest