What exponential function represents the data in the table? x f(x) 3 64 4 256 5 1024 answer choices: f(x) = x4 f(x) = 4x f(x) = x4 − 17 f(x) = 4x + 17

Option B is correct

Step-by-step explanation:

Exponential function is of the form:

where a is the initial amount and b is the growth factor.

Consider any two points from the given tables:

(3, 64) and (4, 256)

Substitute in [1] we have

        .....[2]

      .....[3]

Divide equation [3] by [2] we get;

Substitute the value of b in [2] we get;

Divide both sides by 64 we get;

1 = a

or

a = 1

⇒

therefore, the exponential function represents the data in the table is,

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