Math  /  Algebra

QuestionIdentify the true characteristics of the function f(x)=x+23f(x)=-|x+2|-3. Options include domain, range, and behavior as xx approaches infinity.

Studdy Solution
Now, let's compare our findings with the given optionsa. The domain is all real numbers, but the range is not. b. The function is increasing when x<2x<-2, not when x3x \leq-3. c. The function is decreasing when x>2x>-2, not when x2x \geq-2. d. As x,f(x)x \rightarrow \infty, f(x) \rightarrow -\infty and as x,f(x)x \rightarrow-\infty, f(x) \rightarrow -\infty. e. The function is negative for all real numbers.
So, the only correct characteristics are (e) The function is negative for all real numbers.

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