bm42400
bm42400 bm42400
  • 06-05-2019
  • Mathematics
contestada

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

Find the domain and range of fx2x3sinx class=

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altavistard
altavistard altavistard
  • 06-05-2019

Answer:

Domain:  (-∞, ∞); range:  (-∞, ∞).

Step-by-step 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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