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Find the domain and range of f(x)=-2x+|3sinx|

Find the domain and range of f(x)=-2x+|3sinx|-example-1

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Answer:

Domain: (-∞, ∞); range: (-∞, ∞).

Explanation:

In the given function, f(x)= -2x + |3sinx|, the range of the |3sinx| term is [0, 3]. That of the -2x term is (-∞, ∞).

The range of f(x)= -2x+|3sinx| is thus (-∞, ∞); the |3sinx| term has no effect on this.

There are no restrictions on the input to f(x)= -2x+|3sinx|. The domain is thus (-∞, ∞).

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