1. Logic, Sets, and Proof

Set Notation And Functions — Quiz

Test your understanding of set notation and functions with 5 practice questions.

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Practice Questions

Question 1

What set is described by $\{x\in\mathbb{R}: x>2\}$?

Question 2

What is the domain of $f(x)=\frac{1}{x-3}$ over the real numbers?

Question 3

What is the range of $f:\mathbb{R}\to\mathbb{R}$ defined by $f(x)=x^2$?

Question 4

Let $A=\{1,2\}$ and $B=\{1,2,3\}$. Which statement is true?

Question 5

Let $A=\{a,b,c\}$ and $B=\{b,c,d\}$. What is $A\cup B$?