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Leya [2.2K]
3 years ago
9

State the domain and range for the function. f(x)= 2 csc (x/2) )

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
3 0

Answer:

Option b

Step-by-step explanation:

Since we are dealing with a question that deals with domain and range, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.

Please, see attached image

We graph the equations and find the behavior of the graph

Domain

All reals except multiples of 2π

Range:

f(x) ∈  (-∞,-2] ∪ [2,∞)

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Answer:

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Step-by-step explanation:

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It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

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