Determine Algebraically Whether the Following Function Is One-To-One $| x - 5 | , \quad x \leq 5$

question 45

Multiple Choice

Determine algebraically whether the following function is one-to-one $| x - 5 | , \quad x \leq 5$

• A)
• \(\begin{aligned}
• | a - 5 | & = | b - 5 | \\
• 5 - a & = 5 - b \quad ; \text { one-to-one } \\
• - a & = - b \quad \\
• a & = b
• \end{aligned}\)
• B)
• \(\begin{aligned}
• a & = b \\
• | a - 5 | & = | b - 5 | \\
• | a | - 5 & = | b | - 5 \\
• | a | & = | b | \quad \text { one-to-one } \\
• a & = b
• \end{aligned}\)
• C)
• \(\begin{aligned}
• | a - 5 | & = | b - 5 | \\
• a + 5 & = 5 - b \quad ; \text { not one-to-one } \\
• a & = - b
• \end{aligned}\)
• D)
• \(\begin{aligned}
• | a - 5 | & = | b - 5 | \\
• | - 5 | - a & = | - 5 | + b ; \text { not one-to-one }
• \end{aligned}\)
• E)
• \(\begin{aligned}
• - a & = b \\
• | a - 5 | & = | b - 5 | \\
• | - 5 | - a & = | - 5 | - b ; \text { one-to-one } \\
• - a & = - b \\
• a & = b
• \end{aligned}\)

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Definitions:

Network Attached Storage

A dedicated file storage device connected to a network, allowing multiple users and client devices access to shared data.

Wireless Network Keys

Security codes used to access encrypted Wi-Fi networks, protecting them from unauthorized use.

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Defined sets of permissions or duties assigned to users or entities in a system, determining what actions they can perform within that system.

NFC

Near Field Communication, a set of communication protocols for communication between two electronic devices over a distance of 4 cm or less.