f (x) is an exponential function with these features: f (x) is increasing, the y-intercept is (0,1), and f (2) = 49. Which
function could be f (x)?

A: f(x)=(1/3)^x

B: f(x)=7^x

C: f(x)=3^x

D: f(x)=(1/7)^x

Respuesta :

The exponential function is given by f(x) = 7ˣ

Exponential Function

An exponential function is in the form:

y = abˣ

Where a is the initial value of y, b is the multiplier, y and x are variables.

Given the y-intercept is (0,1), hence:

1 = ab⁰

a = 1

Also f(2) = 49, hence:

49 = (1)(b)²

b = 7

The exponential function is given by f(x) = 7ˣ

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