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Which of the following accurately shows the range of the function defined below?

Which of the following accurately shows the range of the function defined below?-example-1
User Dez Udezue
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2 Answers

3 votes
Answer:
it's b

Explanation:

User Dus
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1 vote

Answer: The answer is (b) (2, ∞)

Step-by-step explanation: We are given a function f(x) in the figure and we are to select out of the given options that accurately shows the range of the function defined.


\textup{For }x < 0, \textup{we have}~f(x)=3.


\textup{For }0\leq x<2,\textup{ we have }f(x)=x^2+2\geq 2.


\textup{For }x\geq 2,\textup{ we have }f(x)=(1)/(2)x+5\geq 5.

Therefore, the range of the function f(x) will be greater then or equal to 2. So, the range will be [2, ∞).

Thus, the correct option is (b) (2, ∞).

User Kerwin Sneijders
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