Functions – Algebra MCQs

By: Prof. Dr. Fazal Rehman | Last updated: January 31, 2025

\[ \textbf{MCQs on Functions in Algebra with Answers} \] \[ \textbf{Q1: Which of the following is the definition of a function?} \] \[ \text{(A) A relation where each input has exactly one output} \quad \text{(B) A relation where each input has multiple outputs} \quad \text{(C) A set of numbers} \quad \text{(D) A set of ordered pairs} \] \[ \textbf{Answer: (A) A relation where each input has exactly one output} \] \[ \textbf{Q2: What is the range of the function \( f(x) = x^2 + 3x + 2 \)?} \] \[ \text{(A) All real numbers} \quad \text{(B) \( x \geq 0 \)} \quad \text{(C) \( x \geq -2 \)} \quad \text{(D) \( y \geq 0 \)} \] \[ \textbf{Answer: (A) All real numbers} \] \[ \textbf{Q3: The function \( f(x) = 2x + 5 \) is an example of which type of function?} \] \[ \text{(A) Quadratic Function} \quad \text{(B) Linear Function} \quad \text{(C) Exponential Function} \quad \text{(D) Constant Function} \] \[ \textbf{Answer: (B) Linear Function} \] \[ \textbf{Q4: If \( f(x) = 3x – 4 \), what is \( f(2) \)?} \] \[ \text{(A) 4} \quad \text{(B) 6} \quad \text{(C) 2} \quad \text{(D) 8} \] \[ \textbf{Answer: (B) 6} \] \[ \textbf{Q5: What is the domain of the function \( f(x) = \frac{1}{x-2} \)?} \] \[ \text{(A) \( x \neq 0 \)} \quad \text{(B) \( x \neq 2 \)} \quad \text{(C) \( x \geq 0 \)} \quad \text{(D) All real numbers} \] \[ \textbf{Answer: (B) \( x \neq 2 \)} \] \[ \textbf{Q6: If \( f(x) = x^2 – 1 \), what is \( f(3) \)?} \] \[ \text{(A) 8} \quad \text{(B) 6} \quad \text{(C) 7} \quad \text{(D) 9} \] \[ \textbf{Answer: (A) 8} \] \[ \textbf{Q7: Which of the following is a one-to-one function?} \] \[ \text{(A) \( f(x) = x^2 \)} \quad \text{(B) \( f(x) = x^3 \)} \quad \text{(C) \( f(x) = x + 2 \)} \quad \text{(D) All of the above} \] \[ \textbf{Answer: (B) \( f(x) = x^3 \)} \] \[ \textbf{Q8: What is the inverse of the function \( f(x) = 2x + 3 \)?} \] \[ \text{(A) \( f^{-1}(x) = \frac{x-3}{2} \)} \quad \text{(B) \( f^{-1}(x) = \frac{x+3}{2} \)} \quad \text{(C) \( f^{-1}(x) = \frac{x}{2} – 3 \)} \quad \text{(D) \( f^{-1}(x) = x – 3 \)} \] \[ \textbf{Answer: (A) \( f^{-1}(x) = \frac{x-3}{2} \)} \] \[ \textbf{Q9: If \( f(x) = 3x + 4 \) and \( g(x) = 2x – 1 \), what is \( (f \circ g)(x) \)?} \] \[ \text{(A) \( 6x + 3 \)} \quad \text{(B) \( 6x + 3 \)} \quad \text{(C) \( 6x + 7 \)} \quad \text{(D) \( 5x + 5 \)} \] \[ \textbf{Answer: (A) \( 6x + 3 \)} \] \[ \textbf{Q10: What is the composition of functions \( f(x) = x+3 \) and \( g(x) = 2x \)?} \] \[ \text{(A) \( (f \circ g)(x) = 2x + 3 \)} \quad \text{(B) \( (f \circ g)(x) = x + 6 \)} \quad \text{(C) \( (f \circ g)(x) = 2x + 3 \)} \quad \text{(D) \( (f \circ g)(x) = 2x + 6 \)} \] \[ \textbf{Answer: (A) \( (f \circ g)(x) = 2x + 3 \)} \]

More MCQs on Algebra (Collected from Past Papers)

1. Elementary Algebra – MCQs
2. Algebraic Expressions – MCQs
3. Algebraic Identities – MCQs
4. Commutative Algebra – MCQs
5. Linear Equations – MCQs
6. Graphing Linear Equations – MCQs
7. Inequalities in Algebra – MCQs
8. Absolute Value Inequalities – MCQs
9. Exponent – MCQs
10. Exponential Functions – MCQs
11. Logarithms – MCQs
12. Polynomials – MCQs
13. Factoring Methods – MCQs
14. Polynomial Arithmetic – MCQs
15. Quadratic Equation – MCQs
16. Linear Algebra – MCQs
17. Matrices in Algebra – MCQs
18. Functions in Algebra – MCQs
19. Sequences in Algebra – MCQs
20. Arithmetic in Algebra – MCQs
21. Combining Like Terms in Algebra – MCQs
22. Abstract Algebra – MCQs
23. Sets in Algebra – MCQs
24. Algebra Calculator – MCQs