Questions covered in Unit Test: Sets and Functions (Basic)

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. If $A = \{1, 2, 3\}$, the number of subsets of A is
2. If $A = \{1, 2\}$ and $B = \{3, 4\}$, then $A \times B$ has how many elements?
3. The domain of the function $f(x) = \frac{1}{x}$ is
4. Which of the following is an empty set?
5. If $f(x) = x^2$, find $f(2)$.
6. Write the set $A = \{x : x \text{ is an integer and } -3 < x < 7\}$ in roster form.
7. If $A = \{1, 2, 3, 4, 5, 6\}$, insert the appropriate symbol $\in$ or $\notin$ in the blank space: 5 ... A
8. Find the range of $f(x) = 2 - 3x, x \in R, x > 0$.
9. If $X$ and $Y$ are two sets such that $X \cup Y$ has 50 elements, $X$ has 28 elements and $Y$ has 32 elements, how many elements does $X \cap Y$ have?
10. Let $A = \{1, 2, 3\}, B = \{3, 4\}$ and $C = \{4, 5, 6\}$. Find $A \times (B \cap C)$.