Let $f ( x ) = x ^ { 3 } + c$

question 72

Essay

Let $f ( x ) = x ^ { 3 } + c$ . Graph the family of functions with $c = - 4$ , $- 2$ , $0$ , $2$ , and $4$ in the viewing rectangle $[ - 5,5 ]$ by $[ - 5,5 ]$ . How does the value of $c$ affect the graph?

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Definitions:

Logical Operation

An operation in computational and digital systems that is based on binary inputs and yields a binary output, following logical principles.

Control Circuit

An electrical circuit designed to control the operation of a main power circuit, often used in applications like motor starts and stops.

Physical Connections

Refers to the tangible linkages or joints between two parts or components within a system.

Logical Connections

The connections between entities that are governed by logic, typically in the context of computer science and digital circuits.