Function Notation and Evaluation

A relation is a function when the ____ don't repeat.

• x's

• y's

• slopes

• intercepts

Answer explanation

A relation is a function when the x's (inputs) don't repeat. Each input must map to exactly one output, ensuring that no two different pairs have the same x-value, which is why the correct answer is x's.

Tags

CCSS.8.F.A.1

The graph shown represents a function.

• True

• False

Answer explanation

The graph represents a function if it passes the vertical line test, meaning any vertical line intersects the graph at most once. Since the question states it represents a function, the correct answer is True.

The graph shown represents a function.

• True

• False

Answer explanation

The statement is false because a function must pass the vertical line test, meaning it cannot have two outputs for the same input. The graph likely shows a relation that fails this criterion.

The graph shown represents a function.

• True

• False

Answer explanation

The statement is false because a function must pass the vertical line test, meaning it cannot have two outputs for the same input. The graph likely shows a relation that fails this criterion.

The graph shown represents a function.

• True

• False

Answer explanation

The graph represents a function if it passes the vertical line test, meaning any vertical line intersects the graph at most once. Since the question states it represents a function, the correct answer is True.

The graph shown represents a function.

• True

• False

Answer explanation

The statement is false because a graph must pass the vertical line test to represent a function. If any vertical line intersects the graph at more than one point, it is not a function.

The table shown represents a function.

• True

• False

Answer explanation

The table represents a function if each input corresponds to exactly one output. Since the question states it represents a function, the correct answer is True.

Tags

CCSS.8.F.A.1

The table shown represents a function.

• True

• False

Answer explanation

The statement is false because a function must have exactly one output for each input. The table may not satisfy this criterion, indicating it does not represent a valid function.

Tags

CCSS.8.F.A.1

The table shown represents a function.

• True

• False

Answer explanation

The table represents a function if each input corresponds to exactly one output. Since the question states it represents a function, the correct answer is True.

Tags

CCSS.8.F.A.1

The table shown represents a function.

• True

• False

Answer explanation

The statement is false because a function must have exactly one output for each input. The table may not satisfy this condition, indicating it does not represent a valid function.

Tags

CCSS.8.F.A.1