Question

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

Answer 1

Answer:
it's b

Explanation:

Answer 2

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, ∞).