Restrict the Domain of the Following Function $f$ So That the Function Is One-To-One and Has an Inverse

question 69

Multiple Choice

Restrict the domain of the following function $f$ so that the function is one-to-one and has an inverse function.
$$f ( x ) = - | x - 4 | + 2$$

• A) \([ - 4 , \infty )\)
• B) \([ 2,4 ]\)
• C) \([ 4 , \infty )\)
• D) \([ - 2,4 ]\)
• E) \(( - \infty , 2 ]\)

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Definitions:

People's Republic of China

A sovereign state in East Asia, established in 1949, governed by the Communist Party of China, with Beijing as its capital.

1949

The year 1949 marks a significant period in global history, witnessing the formation of the North Atlantic Treaty Organization (NATO) and the establishment of the People's Republic of China.

Context-dependent Memory

The theory that information learned in a particular situation or environment is better remembered when in that same situation or environment.

Recall

The act of retrieving information or events from the past while lacking a specific cue to help in retrieving the information.