Note: This is the Solution of review exercise 3.3 from newly published book by PCTB (Punjab Curriculum and Textbook Board, Pakistan) for new 9th session 2025 Onward.
Exercise 3.3
Question # 01: For \(\small{A=\{1,2,3,4\}}\), find the following relations in \(\small{A}\). State the domain and range of each relation.
\((i)\) \(\quad\) \(\{ (x,y)\mid y=x\} \)
\((ii)\) \(\quad\) \(\{ (x,y)\mid y+x=5\} \)
\((iii)\) \(\quad\) \(\{ (x,y)\mid x+y<5\} \)
\((iv)\) \(\quad\) \(\{ (x,y)\mid x+y>5\} \)
Question 2: Which of the following diagrams represent functions and of which type?
Question 3: If \(\small{g(x)=3x+2}\) and \(\small{h(x)=x^2+1}\), then find:
\((i)\) \(\quad\) \(g(0) \)
\((ii)\) \(\quad\) \(g(-3)\)
\((iii)\) \(\quad\) \(g(\frac{2}{3}) \)
\((iv)\) \(\quad \)\(h(1)\)
\((v)\) \(\quad \) \(h(-4) \)
\((vi)\) \(\quad \) \(h(-\frac{1}{2})\)