1. A function from set A to set B is a relation in which
Answer: B. every element of A has exactly one image in B
Mathematics Class 10 Unit 6: Functions and Graphs MCQs
36 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers".
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2. The domain of the relation {(1, 2), (2, 3), (3, 4)} is
Answer: D. {1, 2, 3}
3. The range of the relation {(1, 2), (2, 3), (3, 4)} is
Answer: A. {2, 3, 4}
4. If A = {1, 2, 3} and R = {(x, y) | y = 2x}, then the range of R is
Answer: C. {2, 4, 6}
5. If f(x) = 2x + 3, then f(2) equals
Answer: B. 7
6. If f(x) = x² − 1, then f(−2) equals
Answer: C. 3
7. A function f: A → B is one-to-one (injective) if
Answer: A. different elements of A have different images in B
8. A function f: A → B is onto (surjective) if
Answer: D. the range of f equals B
9. A function f: A → B is into if
Answer: B. at least one element of B is not the image of any element of A
10. A function that is both injective and surjective is called
Answer: A. bijective
11. The inverse of f(x) = x + 5 is
Answer: D. f⁻¹(x) = x − 5
12. The inverse of f(x) = 2x − 3 is
Answer: C. f⁻¹(x) = (x + 3)/2
13. If f(x) = 3x, then f⁻¹(x) equals
Answer: A. x/3
14. The composite function (f o g)(x) means
Answer: D. f(g(x))
15. If f(x) = x + 1 and g(x) = x², then (f o g)(x) equals
Answer: C. x² + 1
16. If f(x) = x + 1 and g(x) = x², then (g o f)(x) equals
Answer: B. (x + 1)²
17. If f(x) = 2x and g(x) = x + 3, then (f o g)(x) equals
Answer: D. 2x + 6
18. If f(x) = x² and g(x) = x + 1, then (f o g)(2) equals
Answer: A. 9
19. The graph of the constant function y = c is a
Answer: C. horizontal line
20. The graph of the identity function y = x is a straight line
Answer: B. through the origin making 45° with the x-axis
21. For the line y = mx + c, the gradient is
Answer: C. m
22. The y-intercept of the line y = 2x + 3 is
Answer: B. 3
23. The gradient of the line joining (1, 2) and (3, 6) is
Answer: A. 2
24. The graph of y = x² is a
Answer: D. parabola opening upwards
25. The vertex of the parabola y = x² is
Answer: C. (0, 0)
26. The graph of y = −x² is a parabola that opens
Answer: D. downwards
27. The graph of y = |x| has the shape of the letter
Answer: B. V
28. The range of the function y = |x| is
Answer: A. y ≥ 0
29. The graph of y = x³ passes through the origin and lies in the
Answer: B. first and third quadrants
30. The x-intercepts of the curve y = x² − 4 are
Answer: A. −2 and 2
31. The curve y = x² + 1 does not cut the x-axis because
Answer: D. x² + 1 = 0 has no real roots
32. The gradient of a tangent drawn at a point of a curve gives
Answer: C. the slope of the curve at that point
33. The solutions of a linear and a quadratic equation solved graphically are given by
Answer: D. the points where their graphs intersect
34. The line y = x + 2 meets the parabola y = x² at the points
Answer: C. (2, 4) and (−1, 1)
35. The line y = 2x − 1 and the parabola y = x² meet at
Answer: B. exactly one point (1, 1)
36. If f(x) = x (identity function), then f(5) equals
Answer: A. 5
About Mathematics Class 10 Unit 6 MCQs (Federal Board)
These 36 Mathematics MCQs cover Class 10 Unit 6: Functions and Graphs of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. Download the Functions and Graphs MCQs as a PDF using the button at the top of this page.