Understanding Functions in Algebra

What is a function in mathematics?

• A collection of numbers or objects.

• A rule that relates one set to another in a specific way.

• A mathematical equation without variables.

• A visual representation of data.

What is the domain of a function?

• The set of output values.

• The mathematical rule of the function.

• The set of input values.

• The graphical representation of the function.

What does the range of a function represent?

• The possible values of 'x'.

• The mathematical rule used in the function.

• The possible values of 'y'.

• The graphical representation of the function.

What does the function y = 2x imply about the relationship between 'y' and 'x'?

• For each input 'x', 'y' remains constant.

• For each input 'x', 'y' is twice as big.

• There is no relationship between 'y' and 'x'.

• For each input 'x', 'y' is half of 'x'.

Why is 'y squared equals x' not considered a function?

• Because it does not involve any numbers.

• Because it only works with square numbers.

• Because it does not have a domain or range.

• Because it can produce more than one output for a single input.

What is the Vertical Line Test used for?

• To find the domain of a function.

• To determine if a graph represents a function.

• To identify the range of a function.

• To calculate the slope of a function.

Which of the following is an example of a linear function?

• y = 2^x

• y = x + 1

• y = x^2

• y = 1/x

What does it mean if a function passes the Vertical Line Test?

• It has a one-to-many relation.

• It does not have a domain.

• It is not a function.

• It is a function.

How is function notation commonly written?

• f(y) = x

• f(x) = y

• y = f(x)

• x = f(y)

What is the result of evaluating f(4) if f(x) = 3x + 2?

• 14

• 16

• 10

• 12