Question

SOMEBODY HEEEEELLLLLLLLLPPPPPP ME WITH THIS PROBLEM!!What exponential function represents the data in the table?

x  fx
   2   25
   3   125
   4    625


f(x) = x4 + 9
f(x) = 4x + 9
f(x) = x5
f(x) = 5x

Answer 1

f(2)=25=5²
f(3)=125=5³
f(4)=625=55⁴
..............
So,
f(x)=(5^x)>>>>=required exponential function

Answer 2

The correct option is 4.

Explanation:

It is given that the table represents an exponential function.

Let the exponential function is

`f(x)=ab^x`

From the table it is noticed that the function passing through the points (2,25), (3,125) and (4,625). It means the function must be satisfied by the points.

`25=ab^2` .... (1)

`125=ab^3` ..... (2)

Divide equation 2 by equation 1.

`(125)/(25)=(ab^3)/(ab^2)`

`5=b`

The value of b is 5. Put this value in equation (1).

`25=a(5)^2`

`25=25a`

Divide both sides by 25.

`a=1`

The required function is

`f(x)=(1)(5)^x`

Therefore the exponential function is
`f(x)=5^x`. Option 4 is correct.