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?

all integers

all positive integers

all positive integers greater than or equal to 5

all positive integers less than or equal to 5

Question

Mathematics

Jane Potts

20 March, 23:06

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?

all integers

all positive integers

all positive integers greater than or equal to 5

all positive integers less than or equal to 5

+5

Answers (1)

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Singleton · Answer 1

The domain of a function is the group of the values of x that would make the equation true such that conditions arising to the substitution of x to the given equation is still believable.

Since, in this item we are given that the split occurs for 5 times, the domain or the values of x should be all positive integers less than or equal to 5. Hence, the answer is the last choice.