Question

Does the function f of x equals one-half times 3 to the x power represent growth or decay? What is the y-intercept of f(x)? Growth; 0 comma one-half Growth; (0, 3) Decay; 0 comma one-half Decay; (0, 3)

Answer 1

Explanation:

its A

Answer 2

(a) Growth, (0, 1/2)

Explanation:

You want to know if the function f(x) = 1/2·3^x represents growth or decay, and its y-intercept.

Exponential function

The exponential function ...

y = a·b^x

has a y-intercept of (0, a). The value 'b' is called the "growth factor". When it is greater than 1, the function is a growth function. When 'b' is less than 1, the function is a decay function.

Application

Here, we have ...

f(x) = 1/2·3^x

That means a = 1/2, so the y-intercept is (0, 1/2).

The value of 'b' is 3, which is greater than 1. The function is a growth function.

<95141404393>