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Class 10 Mathematics Chapter 4 Test 1 | Functions and Graphs | Punjab Board 2027
Class 10 Math Unit 4 Test 1 new Syllabus 2027
Class 10 Mathematics Chapter 4 Test 1 – Functions and Graphs is designed according to the latest Punjab Board syllabus and examination pattern. This Class 10 Math Chapter 4 Test covers important concepts of Functions and Graphs, including functions, one-to-one functions, composition of functions, inverse functions, inequalities, and related questions. Students can use this Mathematics Test 1 for chapter-wise preparation, class tests, revision, and Punjab Board Class 10 Mathematics 2027 exam practice.
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Unit Wise Class Test
T-1
Unit 4: Functions and Graphs
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i) If f(x) = x² − 1 then f(−1) =
(ii) Which of the following is not a function?
(a)
(b)
(c)
(iii) If f(x) = x + 1, g(x) = x² then (g ○ f)(x) =
(iv) Which of the following is not a one-to-one function?
(v) If f(x) = x then its inverse function is f−1(x) =
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Unit Wise Class Test
T-1
Unit 4: Functions and Graphs
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i) If f(x) = x + 2, g(x) = 2x + 4, then find
g(x)
f(x)
f(x)
(ii) For the function f and g, find (f○f)(x) where
f(x) =
2
x
, x ≠ 0 ; g(x) = 2x² − 1
(iii) Given that f(x) = 3x + 2 and g(x) = 2x + 3 Find f(g(−2))
(vi) Find f−1(x) in each of the following:
f(x) = 4x³ − 1
(v) Solve the inequality |x − 1| ≥ 5 and express the solution on number line.
(vi) Solve and express the solution on number line. |7 − 2x| = 1
Note: Answer the following Questions.
(4 + 4 = 8)
3. Find the value of k, such that (f○g)(x) = (g○f)(x), where
f(x) = 3x + 2, g(x) = 6x − k.
4. Solve and express the solution on number line:
|3x − 2| ≤ 12