Determine If the Piecewise Defined Function Is Differentiable at the Origin

question 471

Multiple Choice

Determine if the piecewise defined function is differentiable at the origin.
- $$f ( x ) = \left\{ \begin{array} { l l } 6 x - 7 & \text { if } x < 0 \\x ^ { 2 } + 5 x + 7 & \text { if } x \geq 0\end{array} \right.$$

• A) D ifferentiable
• B) Not differentiable

---

Definitions:

Operant Responding

A type of learning where behavior is controlled by consequences, including rewards and punishments.

Operant Conditioning

An approach to learning in which behavior strength is shaped by either reinforcing positive actions or administering punishments.

Successive Approximations

A technique in behaviorism used to train a new behavior by rewarding actions that are progressively closer to the desired behavior.

Rewards

Positive reinforcements that encourage certain behaviors by providing a desirable outcome or benefit when those behaviors are performed.