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Find the Open Intervals on Which the Function y={2x+7,x74x2,x>7y = \left\{ \begin{array} { l } 2 x + 7 , x \leq 7 \\4 - x ^ { 2 } , x > 7\end{array} \right.

Question 45

Multiple Choice

Find the open intervals on which the function y={2x+7,x74x2,x>7y = \left\{ \begin{array} { l } 2 x + 7 , x \leq 7 \\4 - x ^ { 2 } , x > 7\end{array} \right. is increasing or decreasing.


A) The function is increasing on the interval <x<0- \infty < x < 0 and decreasing on the interval 0<x<0 < x < \infty .
B) The function is increasing on the interval 7<x<7 < x < \infty and decreasing on the interval <x<7- \infty < x < 7 .
C) The function is increasing on the interval <x7- \infty < x \leq 7 and decreasing on the interval 7<x<7 < x < \infty .
D) The function is increasing on the interval 0<x<0 < x < \infty and decreasing on the interval <x<0- \infty < x < 0 .
E) The function is increasing on the interval <x<7- \infty < x < 7 and decreasing on the interval 7<x<7 < x < \infty .

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