Describe the Interval(s) on Which the Function $f ( x ) = \left\{ \begin{array} { l } x ^ { 2 } - 100 ,\\10 x + 100,\end{array} \right.$

question 35

Multiple Choice

Describe the interval(s) on which the function $f ( x ) = \left\{ \begin{array} { l } x ^ { 2 } - 100 ,\\10 x + 100,\end{array} \right.$ $\begin{array} { l } x \leq 0 \\x > 0\end{array}$ is continuous.

• A) \(( - \infty , 0 ]\) and \(( 0 , \infty )\)
• B) \(( - \infty , 0 )\) and \([ 0 , \infty )\)
• C) \(( - \infty , 0 )\) and \(( 0 , \infty )\)
• D) \(( - \infty , \infty )\)
• E)none of these choices

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