Exploring Rational Expressions: Addition and Subtraction

What is the key characteristic of a function?

• Each y value can have multiple x values.

• Each x value can have multiple y values.

• Each y value has a unique x value.

• Each x value has a unique y value.

In a function, what does the term 'input' refer to?

• z values

• x values

• y values

• w values

If an x value repeats in a mapping, what does it indicate?

• It is a one-to-one function.

• It is not a function.

• It is a function.

• It is an onto function.

Which of the following mappings represents a function?

• (1, 2), (2, 3), (3, 4), (4, 5), (5, 6)

• (-3, 3), (1, 2), (7, 30), (8, 4), (13, 8)

• (2, 3), (2, 4), (3, 5), (4, 6), (5, 7)

• (-7, 4), (-7, 5), (8, 1), (11, 2), (19, 3)

In a table, what should you check to determine if it represents a function?

• If the sum of x and y values is constant.

• If any y values repeat.

• If any x values repeat.

• If the product of x and y values is constant.

Which of the following tables represents a function?

• (0, 1), (0, 2), (1, 3), (2, 4), (3, 5)

• (-3, 2), (-3, 4), (1, 5), (2, 6), (3, 7)

• (-6, 1), (-4, 2), (-2, 3), (0, 4), (2, 5)

• (1, 2), (1, 3), (2, 4), (3, 5), (4, 6)

What is the significance of y values repeating in a function?

• It has no significance; only x values matter.

• It means the relation is an onto function.

• It means the relation is a one-to-one function.

• It means the relation is not a function.

Which of the following statements is true about functions?

• A function must have unique y values for each x value.

• A function must have unique x values for each y value.

• A function can have multiple y values for a single x value.

• A function can have multiple x values for a single y value.

What should you do if you find a repeating x value in a table?

• Check if y values are unique.

• Consider it not a function.

• Consider it a function.

• Ignore the repeating x value.

What is the main focus when determining if a relation is a function?

• Checking if the product of x and y is constant.

• Checking if the sum of x and y is constant.

• Checking if x values are unique.

• Checking if y values are unique.