Write an exponential function in the form y = a * b ^ x that goes through points (0, 14) and (4, 8750)

Given:

An exponential function goes through points (0, 14) and (4, 8750).

To find:

The function.

Solution:

The general form of an exponential function is

         ...(i)

It goes through points (0, 14) and (4, 8750). It means the the equation must be satisfied by these points.

Putting x=0 and y=14 in (i), we get

The value of a is 14.

Putting a=14, x=4 and y=8750 in (i), we get

It can be written as

The value of b is 5.

Putting a=14 and b=5 in (i), we get

Therefore, the required exponential function is .

your answer would be 10x - 1

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.