Question

identify the type of function represented by f(x) 4 2^x

Answer 1

f(x) = 4*2ˣ = 2ˣ⁺²

The answer is B because it is an exponential function since x is an exponent. Also, decay mean decreasing and growth means increasing. The function 2ˣ⁺² is "growing" as x gets bigger because the base is not a fraction.

Answer 2

The given function is an exponential growth function.

What is an exponential growth and decay function?

"There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = $b^{x}$ when b > 1, the function represents exponential growth. In the function f (x) = $b^{x}$ when 0 < b < 1, the function represents exponential decay."

Given function is: f(x) = 4 × $2^{x}$

⇒ f(x) = 2² × $2^{x}$

⇒ f(x) = $2^{x + 1}$

Here, it is clearly an exponential function. In the given function, 'x + 1' is an exponent.

Again, the base of the given function f(x) is 2. As 2 > 0, therefore, it is an exponential growth function.

Learn more about an exponential growth and decay function here: https://brainly.com/question/24291653

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