Graph $f ( x ) = \left\{ \begin{array} { l c } 3 x + 2 & x < - 3 \\ x - 4 & x \geq - 3 \end{array} \right.$

question 72

Multiple Choice

Graph $f ( x ) = \left\{ \begin{array} { l c } 3 x + 2 & x < - 3 \\ x - 4 & x \geq - 3 \end{array} \right.$ and find the limit of $f ( x )$ as $x$ approaches $- 3$

• A) \(- 35\)
• B) \(- 7\)
• C) \(- 28\)
• D) 7
• E) limit does not exist

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Definitions:

Consecutive Odd Integers

Integers that follow one after another in order and are odd, each differing by two from the next (e.g., 1, 3, 5, ...).

Sum

The result of adding two or more numbers or quantities together.

Algebraic Model

A mathematical model that uses algebraic expressions to represent real-world situations.

Assembly Line

A manufacturing process in which parts are added to a product in a sequential manner to create a finished product efficiently.