Identifying Functions Through Various Representations

What is the relationship between functions and relations?

• Functions are a subset of relations where each input has multiple outputs.

• Every function is a relation, but not every relation is a function.

• Every relation is a function, but not every function is a relation.

• Functions and relations are completely unrelated.

Why is every square considered a rectangle?

• Because a square has no sides equal.

• Because a square has opposite sides parallel and congruent with 90-degree angles.

• Because a square has no angles.

• Because a square has all sides equal.

What additional property does a square have that a rectangle does not?

• All sides are equal.

• Opposite sides are parallel.

• It has 90-degree angles.

• Opposite sides are congruent.

What defines a relation in mathematics?

• A set of numbers with no relationship.

• A set of ordered pairs with multiple outputs for each input.

• A set of ordered pairs showing a relationship between x and y values.

• A single number.

How can you determine if a relation is a function using ordered pairs?

• Check if any y values repeat.

• Check if any x values repeat.

• Check if all y values are different.

• Check if all x values are different.

In a mapping diagram, what indicates that a relation is not a function?

• No arrows at all.

• Repeating y values.

• Arrows coming from the same x value to different y values.

• Arrows coming from different x values to the same y value.

What is the significance of repeating y values in a mapping diagram?

• It indicates the relation is a function.

• It indicates the relation is undefined.

• It indicates the relation is not a function.

• It has no significance.

What is the vertical line test used for?

• To determine if a graph represents a function.

• To determine if a graph represents a relation.

• To determine if a graph has repeating x values.

• To determine if a graph has repeating y values.

What does it mean if a vertical line intersects a graph more than once?

• The graph has repeating y values.

• The graph has no x values.

• The graph represents a function.

• The graph does not represent a function.

Would a horizontal line pass the vertical line test?

• Yes, because it has no repeating values.

• Yes, because it has repeating y values.

• No, because it has no values.

• No, because it has repeating x values.