Question

One type of firework splits 5 times after it is fired into the air. The number of new bursts after each split can be modeled by the function f (x ) = 2x where x is the number of times the firework splits. What is the domain of f ( x) in this context

Answer 1

Answer:

All positive integers less than or equal to 5

(Imagine Math)

Answer 2

The domain of f(x) is all the positive integer values up to 5

What is a function?

A function is defined as a relation between a set of inputs having one output each.

What is domain?

The domain of a function is the set of all possible inputs for the function.

How to find what is the domain of f ( x) in the problem?

According to the problem,

• One type of firework splits 5 times after it is fired into the air.
• The number of new bursts after each split can be modeled by the function f (x ) = 2x where x is the number of times the firework splits.

So, the values of x will be all the positive integer values up to 5 , as the maximum number of splits is 5.

∴ we can write , x∈ {1 , 5}

This is the domain of f(x)

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