Correct answer: A

The correct answer is $\\{1,2,3\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: The domain is the set of input values, so it is $\\{1,2,3\\}$.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: B

The correct answer is $\\{4,5,6\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: The range is the set of output values, so it is $\\{4,5,6\\}$.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: C

The correct answer is $\\{-2,0,3\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Take the first coordinates and list each distinct value: $\\{-2,0,3\\}$.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: D

The correct answer is $\\{1,4\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Take the distinct second coordinates: 4 and 1, usually written in order as $\\{1,4\\}$.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: A

The correct answer is Distance traveled over time during a car trip.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Distance can take any value during the trip, so time and distance can vary continuously.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: B

The correct answer is There are three listed inputs and two distinct outputs..

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: The domain contains three inputs and the range contains two different output values; repeated outputs are allowed in a function.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: C

The correct answer is The vertical line test.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: A vertical line cannot cross a function graph more than once.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: D

The correct answer is $\\{2,3,4,5\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Evaluate the rule: 0, 1, 2, and 3 produce 2, 3, 4, and 5.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: A

The correct answer is $\\{3,5,7\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Evaluate: $f(1)=3$, $f(2)=5$, and $f(3)=7$.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.

Correct answer: B

The correct answer is $\\{(2,5),(2,7),(3,8)\\}$.

1. Identify the relation: List the inputs and outputs, or read the rule, table, mapping, or graph provided.
2. Apply the function rule: Input 2 is paired with both 5 and 7, so the relation fails the one-output-per-input rule.
3. Check uniqueness and meaning: Confirm that each input has exactly one output and interpret the result in context.