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

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 333 People

Answered by maham237 @ 25/12/2020

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.

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

$\textup{For }0\leq x$

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

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, ∞).

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