Question

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

Answer 1

Answer:

The correct option is 4.

Step-by-step 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.

$\frac{125}{25}=\frac{ab^3}{ab^2}$

$5=b$

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.

Answer 2

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