Which of the Following Properties Are Satisfied by the Following $\left\{ \begin{array} { l l } x ^ { 2 } + 1 & \text { for } x < 0 \\1 & \text { for } x = 0 \\5 x + 1 & \text { for } x > 0\end{array} \right.$

question 161

Multiple Choice

Which of the following properties are satisfied by the following function: f(x) = $\left\{ \begin{array} { l l } x ^ { 2 } + 1 & \text { for } x < 0 \\1 & \text { for } x = 0 \\5 x + 1 & \text { for } x > 0\end{array} \right.$ (I) f(x) is continuous
(II) f(x) is differentiable for all x
(III) f(x) is differentiable at x = -2

• A) III only
• B) I only
• C) I, II, and III
• D) I and II only
• E) I and III only

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Definitions:

Positive Incentive Model

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Body Mass Index

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