Find the Numbers, If Any, Where the Function $f ( x ) = \left\{ \begin{array} { c c } 3 x - 2 & \text { if } x \leq 1 \\ 0 & \text { if } x > 1 \end{array} \right.$

question 171

Multiple Choice

Find the numbers, if any, where the function $f ( x ) = \left\{ \begin{array} { c c } 3 x - 2 & \text { if } x \leq 1 \\ 0 & \text { if } x > 1 \end{array} \right.$ is discontinuous. Select the correct answer.

• A) \(- 2\)
• B) 2
• C) 1
• D) 0

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Definitions:

Methylene Groups

A bivalent group consisting of two hydrogen atoms attached to a carbon atom, represented as -CH2-.

Dimethylhexane

A type of hydrocarbon with various structural isomers, known for being components of gasoline and various fuels.

Hydrocarbon

Organic compounds consisting entirely of hydrogen and carbon atoms, forming the basis of all organic chemistry and fossil fuels.

Alkanes

Saturated hydrocarbons consisting of carbon and hydrogen atoms with single bonds between carbons, known for their stability and lack of reactivity.