Find All Points of Inflection, If Any Exist, of the Graph

question 144

Multiple Choice

Find all points of inflection, if any exist, of the graph of the function $f ( x ) = x \sqrt { x + 3 }$ . Round your answers to two decimal places.

• A) \(( 6,18 )\)
• B) \(( 1,2 ) , ( 3,7.35 )\)
• C) \(( 1,2 ) , ( 2,4.47 )\)
• D) \(( 3,7.35 )\)
• E) no points of inflection

---

Definitions:

Evaluation Apprehension

Anxiety or fear about being judged or evaluated by others, which can affect performance and participation.

Social Identity

A person's sense of who they are, based on their group membership(s), which shapes their feelings and behavior towards in-group and out-group members.

Steiner's Typology

A classification system proposed by Ivan Steiner that categorizes group tasks based on their nature, such as additive, disjunctive, conjunctive, and compensatory, to understand the impact of group interaction on performance.

Divisibility

A characteristic of a resource or situation that allows it to be divided or apportioned among multiple entities or processes.