Functions and Graph Quiz 10 Comments / By studentseoasis.org / May 23, 2025 Welcome to your Functions and Graph Quiz Name Email Phone Q1. Which of the following defines a function? A) {(1,2), (2,3), (1,3)} B) {(2,3), (3,4), (4,5)} C) {(1,2), (2,3), (2,4)} D) {(1,2), (3,2), (1,2)} None Q2. A function can be best described as: A) A set of ordered pairs where each first element is paired with multiple second elements B) A relation with repeated inputs C) A relation where every input has a unique output D) A set of values without any relation None Q3. Which of the following is a one-to-one function? A) f(x) = x² A) f(x) = x² C) f(x) = |x| D) f(x) = sin(x) None Q4. Which type of function is f(x) = |x|? A) Linear B) Quadratic C) Absolute Value D) Rational None Q5. A function is called even if: A) f(-x) = -f(x) B) f(x) = 0 C) f(-x) = f(x) D) f(x) = x None Q6. What is the classification of f(x) = 3/x? A) Polynomial B) Rational C) Exponential D) Trigonometric None Q7. If f(x) = 2x + 3, find f(4). A) 8 B) 10 C) 11 D) 12 None Q8. If f(x) = x² - 1, then f(-2) = ? A) 3 B) -3 C) 5 D) 1 None Q9. Find the domain of f(x) = √(x - 5). A) x ≥ 5 B) x ≤ 5 C) x ≠ 5 D) x > 0 None Q10. Find the range of f(x) = x². A) All real numbers B) x > 0 C) x ≥ 0 D) x ≤ 0 None Q11. Which of the following functions has domain all real numbers except x = 2? A) f(x) = 1/(x + 2) B) f(x) = √(x - 2) C) f(x) = 1/(x - 2) D) f(x) = x² - 2 None Q12. The inverse of f(x) = 2x + 3 is: A) f⁻¹(x) = (x - 3)/2 B) f⁻¹(x) = 2x - 3 C) f⁻¹(x) = x/2 + 3 D) f⁻¹(x) = x + 3/2 None Q13. If f(x) = x³, then f⁻¹(x) is: A) √x B) ∛x C) x² D) 1/x³ None Q14. If f⁻¹(f(x)) = x for all x in the domain, then: A) f is not invertible B) f is one-to-one C) f is not defined D) f is constant None Q15. If f(x) = x + 1 and g(x) = 2x, then (f ∘ g)(x) = ? A) 2x + 1 B) 2x + 2 C) x + 2 D) x + 3 None Q16. If f(x) = x² and g(x) = x + 2, find (g ∘ f)(3). A) 11 B) 13 C) 15 D) 17 None Q17. The domain of (f ∘ g)(x) is: A) The domain of f B) The domain of g C) Values of x in the domain of g such that g(x) lies in the domain of f D) All real numbers None Q18. What happens to the graph of f(x) = x² if we graph f(x - 3)? A) Shift right by 3 B) Shift left by 3 C) Shift up by 3 D) Shift down by 3 None Q19. f(x) = |x| is reflected in the x-axis by: A) f(x) B) f(-x) C) -f(x) D) -f(-x) None Q20. Vertical stretching of f(x) = x² by a factor of 3 results in: A) f(x) = 3x B) f(x) = x² + 3 C) f(x) = 3x² D) f(x) = (x + 3)² None Q21. A function with the graph passing the horizontal line test is: A) Not injective B) Not surjective C) One-to-one D) Constant None Q22. If f(x) = x² + x, is f a one-to-one function? A) Yes B) No C) Only for x > 0 D) Only for x < 0 None Q23. The function f(x) = log(x) is defined for: A) x ≠ 0 B) x > 0 C) x < 0 D) All x None Q24. Which of the following is NOT a function? A) A circle B) A line C) A parabola opening upwards D) A cubic curve None Q25. The graph of f(x) = 1/x has: A) A hole at x = 0 B) A vertical asymptote at x = 0 C) A horizontal line at x = 0 D) A point at (0,1) None Q26. What is the range of f(x) = sin(x)? A) (-∞, ∞) B) [0, 1] C) [-1, 1] D) (0, ∞) None Q27. If f(x) = e^x, then f⁻¹(x) = ? A) ln(x) B) log(x) C) x^e D) e^x None Q28. Which function is both one-to-one and onto over all real numbers? A) f(x) = x² B) f(x) = x³ C) f(x) = |x| D) f(x) = sin(x) None Q29. If f(x) = x and g(x) = √x, the domain of (g ∘ f)(x) is: A) All real x B) x ≥ 0 C) x ≠ 0 D) x ≤ 0 None Q30. What is the effect of adding a constant to f(x), as in f(x) + c? A) Shifts graph left B) Shifts graph down C) Shifts graph vertically D) Shifts graph horizontally None Time's up
Najeeb Ahmed June 13, 2025 at 3:11 pm Thank you sir Q 3 both offcion same and q 16 offcion 11 correct hona chahiye Reply
arslanali May 24, 2025 at 1:27 am Thanks for helping us by providing plenty of knowledge in the form of quiz… Love from my side ( Keep going 💪) Reply
It was a great quiz.
Thanks for your service 🙏🏼❤️
oops [zulqarnain}
Thank you sir
Q 3 both offcion same and q 16 offcion 11 correct hona chahiye
Thanks for helping us by providing plenty of knowledge in the form of quiz… Love from my side
( Keep going 💪)
This quiz is very helpful for our entry preparation.
When will come next mock test, for practice?
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Please give me lectures website
Good work seo
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