Determine Whether the Function Is One-To-One $$f = \{ ( 0,0 ) , ( 1,5 ) , ( - 2,10 ) \}$$

question 75

Multiple Choice

Determine whether the function is one-to-one. If it is one-to-one find an equation or a set of ordered pairs that defines
the inverse function of the given function.
- $$f = \{ ( 0,0 ) , ( 1,5 ) , ( - 2,10 ) \}$$

• A) one-to-one; \(\mathrm { f } ^ { - 1 } = \{ ( 0,0 ) , ( 5 , - 2 ) , ( 10,1 ) \}\)
• B) one-to-one; \(\mathrm { f } ^ { - 1 } = \left\{ ( 0,0 ) , \left( 1 , \frac { 1 } { 5 } \right) , \left( - 2 , \frac { 1 } { 10 } \right) \right\}\)
• C) one-to-one; \(\mathrm { f } ^ { - 1 } = \{ ( 0,0 ) , ( 5,1 ) , ( 10 , - 2 ) \}\)
• D) not one-to-one

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Definitions:

Spongy Bone

A porous type of bone found at the ends of long bones and inside vertebrae, lightening the skeleton's weight and making room for bone marrow.

Osteon's Lacunae

Small spaces within the osteon of bones that house osteocytes, the cells responsible for maintaining bone tissue.

Osteocytes

Bone cells integral to the structure and function of bone, acting as strain sensors.

Hydroxyapatites

Minerals composed of calcium phosphate that form the primary structural component of bone and teeth.