3. Functions and Relations

Function Concepts — Quiz

Test your understanding of function concepts with 5 practice questions.

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Practice Questions

Question 1

A relation is defined by the equation $ y = \frac{1}{x^2 - 4} $. Which of the following statements correctly describes the domain of this relation?

Question 2

Consider the graph of a horizontal line. Does this graph represent a function, and why?

Question 3

Which of the following scenarios represents a relation that is a function?

Question 4

Given the function $ f(x) = \sqrt{x - 9} $, what is the domain of this function?

Question 5

A relation is defined by the set of ordered pairs $ \{(x, y) \mid y^2 = x, x \ge 0 \} $. Which of the following statements about this relation is true?