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Find the Range of the Function f(x)={x2−4x if x≤2∣x−4∣ if x>2f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } - 4 x & \text { if } x \leq 2 \\| x - 4 | & \text { if } x > 2\end{array} \right.

Question 53

Multiple Choice

Find the range of the function f(x) ={x2−4x if x≤2∣x−4∣ if x>2f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } - 4 x & \text { if } x \leq 2 \\| x - 4 | & \text { if } x > 2\end{array} \right. .


A) [0, ∞\infty ) .
B) (- ∞\infty ,2]
C) [-4, ∞\infty ) .
D) (- ∞\infty , 0]
E) [4, ∞\infty )
F) (- ∞\infty ,4]
G) [2, ∞\infty )
H) (- ∞\infty ,4] .

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