Grade 11 Mathematics Quiz on Relations and Functions

What is the definition of a relation?

• A set of ordered pairs

• A single number

• A geometric shape

• A type of function

What does the domain of a relation represent?

• The set of all second components

• The average of the pairs

• The set of all first components

• The total number of pairs

Which of the following is an example of an inverse relation?

• If R = {(1, 2), (2, 3)}, then R^-1 = {(2, 1), (3, 2)}

• If R = {(1, 2), (2, 3)}, then R^-1 = {(1, 3), (2, 2)}

• If R = {(1, 2), (2, 3)}, then R^-1 = {(2, 3), (1, 1)}

• If R = {(1, 2), (2, 3)}, then R^-1 = {(3, 2), (2, 1)}

What is the range of a relation?

• The set of all second components

• The maximum value of the pairs

• The set of all first components

• The total number of pairs

Which of the following represents a function?

• A relation where each input has one output

• A relation with multiple outputs for a single input

• A set of random numbers

• A geometric figure

What is the composition of functions?

• Graphing a function

• Combining two functions to form a new function

• Finding the inverse of a function

• Determining the domain of a function

Which of the following is NOT a type of function mentioned?

• Absolute value function

• Greatest integer function

• Exponential function

• Power function

What is the purpose of the vertical line test?

• To graph a function

• To calculate the range of a function

• To find the domain of a function

• To determine if a relation is a function

In the context of relations, what does the term 'ordered pair' refer to?

• A set of numbers

• A geometric point

• A pair of numbers where order matters

• Any two numbers

What is the significance of the inverse function?

• It changes the domain of the function

• It adds a constant to the output

• It doubles the output of the function

• It reverses the effect of the original function