PUMPA - SMART LEARNING

எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

Book Free Demo
1. Let \(A = \{1, 2, 3, 4\}\) and \(B = \{2, 5, 8, 11, 14\}\) be two sets. Let \(f: A \rightarrow B\) be a function given by \(f(x) = 3x - 1\). Represent this function
 
(i) by arrow diagram
 
(ii) in a table form
 
(iii) as a set of ordered pairs
 
(iv) in a graphical form
 
 
2. Let \(A = \{1, 2, 3\}\) and \(B = \{4, 5, 6, 7\}\) and \(f = \{(1, 4), (2, 5), (3, 6)\}\) be a function from \(A\) to \(B\). Show that \(f\) is one-to-one but not onto function.
 
3. If the function \(f: R \rightarrow R\) defined by f(x)=2x+7,x22,3x2,x<22x<3x3, then find the values of:
 
(i) \(f(4)\) \(=\)
 
(ii) \(f(-2)\) \(=\)
 
(iii) \((f(4) + 2f(1)\) \(=\)
 
(iv) \(\frac{f(1) - 3f(4)}{f(-3)}\) \(=\)
 
Important!
The first two questions are self-assessment tasks. Solve and assess the solution steps after the completion of the test on your own.