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

question 60

Multiple Choice

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

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

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