Education

Class 10 Math Chapter 4 Test 3 | Functions and Graphs | Punjab Board 2027

Class 10 Math Chapter 4 Test 3 New Syllabus 2027

Class 10 Mathematics Chapter 4 Test 3 is a useful practice paper for students preparing Functions and Graphs according to the Punjab Board examination pattern. This Class 10 Math Test 3 covers important concepts from Chapter 4, including functions, graphs, domain and range, inverse functions, one-to-one and bijective functions, and absolute value functions. Students can use this Class 10 Mathematics model test for chapter-wise preparation, revision, self-assessment, and practice for the Punjab Board 2027 Mathematics examination.

786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
786Times
Unit 04:

Total Time: 35 min
CHAPTER WISE CLASS TEST
(Test # 3)
Mathematics

Total Marks: 25
1 A B C D
2 A B C D
3 A B C D
4 A B C D
5 A B C D
6 A B C D
7 A B C D
8 A B C D
NOTE: Four possible answers A, B, C and D to each question are given. The choice which you think is correct, fill that circle in front of that question with Marker or Pen ink. Cutting or filling two or more circles will result in zero mark in that question.
TIME: 10 Min
OBJECTIVE
MARKS: 8
Q.1: (8)
1. If f(x) = 5x + 2, h(x) = 2x − 2, then what is f(x) − h(x) =
(A) 3x
(B) 5x2 − 4
(C) 3x + 4
(D) −3x − 4
2. If f(x) = x2 − 4, g(x) = x + 2, x ≠ −2 then f(x) / g(x) =
(A) 1 x − 2
(B) 1 x + 2
(C) x + 2
(D) x − 2
3. If a graph represents a function, then every vertical line must intersect it at:
(A) 4 points
(B) 3 points
(C) 2 points
(D) 1 point
4. If f(x) = 10x3 and g(x) = 5x, what is f(x) / g(x)?
(A) 2x2
(B) 10x4
(C) 50x4
(D) 10x2
5. One-to-one function is also called:
(A) injective
(B) bijective
(C) negative
(D) continuous
6. Domain of f−1 ________.
(A) Domain of f
(B) Range of f
(C) Domain f−1
(D) Range of y
7. Which is the vertex form of an absolute value function?
(A) g(x) = −a|h − x|
(B) g(x) = −a|x| + k
(C) g(x) = a|x − h| + k
(D) g(x) = |x − h| × k
8. The solution of equation |x| = 7 is:
(A) −7 only
(B) 7 only
(C) 7 and −7
(D) No solution
TIME: 25 Min
SUBJECTIVE
MARKS: 17
(PART – I)
Q.2: Write short answers to following questions. (6 × 2 = 12)
(i) If f(x) = 7x − 3, g(x) = 2x2 + 5, then find (f.g)(x).
(ii) If f(x) = 3x − 4, then find (f○f)(x).
(iii) Define one-to-one function:
(iv) Define bijective function:
(v) Find the inverse of f(x) = 5x2 + 1.
(vi) What is the range of the basic absolute value function f(x) = |x|?
(PART – II)

Note: Attempt the following question. (5)

Q.3: Solve the inequality |x − 1| ≥ 5 and express the solution on number line.
Number Line
−5 −4 −3 −2 −1 0

Related Articles

Leave a Reply

Your email address will not be published. Required fields are marked *

Back to top button
error: Content is protected !!