Question

Which equation represents an exponential function that passes through the point (2, 36)? f(x) = 4(3)x f(x) = 4(x)3 f(x) = 6(3)x f(x) = 6(x)3

Answer 1

The exponential function that passes through the point (2, 36) is:

f (x) = 4 (3) ^ x

Step by step explanation:

To know if point (2, 36) belongs to any of the exponential functions described, we evaluate in them:

f (x) = 4 (3) ^ x f (x) = y = 36 and x = 2 We evaluate

y = 4 * 3²

y = 4 * 9

y = 36 As we can see the function f (x) = 4 (3) ^ x, meets the condition of being exponential and containing the point (2, 36) being this the correct alternative

Espanish:

La funcion exponencial que pasa por el punto  (2 ,36) es:

f(x) = 4(3)^x

Explicación paso a paso:

Para saber si el punto  (2 , 36) pertence a alguna de las funciones exponenciales descritas, evaluamos en ellas:

f(x) = 4(3)^x    f(x) = y = 36 y x = 2  Evaluamos

y = 4*3²

y = 4*9

y = 36   Como podemos ver la funcion f(x) = 4(3)^x , cumple con la condicion de ser exponencial y de contener al punto  (2 , 36) siendo esta la alternativa correcta