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Find the Domain and Sketch the Graph of the Function {−x+2 if x≥2x2−1 if x<2\left\{\begin{array}{ll}-x+2 & \text { if } x \geq 2 \\x^{2}-1 & \text { if } x<2\end{array}\right.

Question 23

Multiple Choice

Find the domain and sketch the graph of the function. What is its range? f (x) = {−x+2 if x≥2x2−1 if x<2\left\{\begin{array}{ll}-x+2 & \text { if } x \geq 2 \\x^{2}-1 & \text { if } x<2\end{array}\right.


A) D: (- ∞\infty , ∞\infty ) ; R: (- ∞\infty , 0] ∪\cup (3, ∞\infty )  Find the domain and sketch the graph of the function. What is its range? f (x)  =  \left\{\begin{array}{ll} -x+2 & \text { if } x \geq 2 \\ x^{2}-1 & \text { if } x<2 \end{array}\right.  A)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 0]  \cup  (3,  \infty  )    B)  D: (-  \infty  ,  \infty  ) ; R: [0,  \infty  )    C)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 3]   D)  D: (-  \infty  ,  \infty  ) ; R: [-1,  \infty  )
B) D: (- ∞\infty , ∞\infty ) ; R: [0, ∞\infty )  Find the domain and sketch the graph of the function. What is its range? f (x)  =  \left\{\begin{array}{ll} -x+2 & \text { if } x \geq 2 \\ x^{2}-1 & \text { if } x<2 \end{array}\right.  A)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 0]  \cup  (3,  \infty  )    B)  D: (-  \infty  ,  \infty  ) ; R: [0,  \infty  )    C)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 3]   D)  D: (-  \infty  ,  \infty  ) ; R: [-1,  \infty  )
C) D: (- ∞\infty , ∞\infty ) ; R: (- ∞\infty , 3]  Find the domain and sketch the graph of the function. What is its range? f (x)  =  \left\{\begin{array}{ll} -x+2 & \text { if } x \geq 2 \\ x^{2}-1 & \text { if } x<2 \end{array}\right.  A)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 0]  \cup  (3,  \infty  )    B)  D: (-  \infty  ,  \infty  ) ; R: [0,  \infty  )    C)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 3]   D)  D: (-  \infty  ,  \infty  ) ; R: [-1,  \infty  )
D) D: (- ∞\infty , ∞\infty ) ; R: [-1, ∞\infty )  Find the domain and sketch the graph of the function. What is its range? f (x)  =  \left\{\begin{array}{ll} -x+2 & \text { if } x \geq 2 \\ x^{2}-1 & \text { if } x<2 \end{array}\right.  A)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 0]  \cup  (3,  \infty  )    B)  D: (-  \infty  ,  \infty  ) ; R: [0,  \infty  )    C)  D: (-  \infty  ,  \infty  ) ; R: (-  \infty  , 3]   D)  D: (-  \infty  ,  \infty  ) ; R: [-1,  \infty  )

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