10th class Mathematics, Chapter 4: Functions and Graphs MCQs

1. If f(x) = (5x − 6)/3, then what is the value of f(3)?

1. (A) −1
2. (B) 3 ✓
3. (C) 9
4. (D) 15

2. A function f from X to Y is represented by:

1. (A) f: XY
2. (B) f: Y → X
3. (C) f: X → Y ✓
4. (D) f: X/Y

3. (fog)(x) =

1. (A) (f + g)(x)
2. (B) (f − g)(x)
3. (C) f(g(x)) ✓
4. (D) f(x) ÷ g(x)

4. If f(x) = 2x + 3, g(x) = x + 1, then f(x) + g(x) =

1. (A) 3x
2. (B) 3x + 4 ✓
3. (C) 4
4. (D) 2x² + 3

5. If f(x) = 5x + 2, h(x) = 2x − 2, then f(x) − h(x) =

1. (A) 3x
2. (B) 5x² − 4
3. (C) 3x + 4 ✓
4. (D) −3x − 4

6. If f(x) = 3x + 1, g(x) = 2x, then g(x) × f(x) =

1. (A) 6x + 2x
2. (B) 5x² + 1
3. (C) x + 1
4. (D) 6x² + 2x ✓

7. If f(x) = x² − 4, g(x) = x + 2, x ≠ −2, then f(x)/g(x) =

1. (A) 1/(x − 2)
2. (B) 1/(x + 2)
3. (C) x + 2
4. (D) x − 2 ✓

8. What is the shape of the graph of an absolute value function?

1. (A) U-shaped
2. (B) V-shaped ✓
3. (C) L-shaped
4. (D) M-shaped

9. If a graph represents a function, then every vertical line must intersect it at:

1. (A) 4 points
2. (B) 3 points
3. (C) 2 points
4. (D) 1 point ✓

10. If f(x) = x³, then f(−2) =

1. (A) −8 ✓
2. (B) 8
3. (C) 4
4. (D) −6

11. A function from X to Y assigns to each element of X:

1. (A) every element of Y
2. (B) exactly one element of Y ✓
3. (C) at least two elements of Y
4. (D) no element of Y

12. The set X in f: X → Y is called the:

1. (A) domain ✓
2. (B) range
3. (C) co-domain
4. (D) image

13. The range of a function is always a subset of its:

1. (A) pre-image
2. (B) inverse
3. (C) co-domain ✓
4. (D) domain

14. If f(a) = 1, then a is called the ______ of 1.

1. (A) range
2. (B) co-domain
3. (C) pre-image ✓
4. (D) image

15. If f(x) = x² + 3x + 1, then f(0) =

1. (A) 1 ✓
2. (B) 0
3. (C) 3
4. (D) 5

16. If f(x) = 2x − 1, then f(3) =

1. (A) 7
2. (B) −5
3. (C) 5 ✓
4. (D) 6

17. The range of f(x) = (x + 1)² is:

1. (A) the set of all real numbers
2. (B) the set of negative real numbers
3. (C) {1}
4. (D) the set of non-negative real numbers ✓

18. In y = f(x), x is called the:

1. (A) dependent variable
2. (B) co-domain
3. (C) range
4. (D) independent variable ✓

19. (f + g)(x) =

1. (A) f(x) − g(x)
2. (B) f(x) + g(x) ✓
3. (C) f(x)·g(x)
4. (D) f(g(x))

20. (f·g)(x) =

1. (A) f(x)/g(x)
2. (B) f(g(x))
3. (C) f(x)·g(x) ✓
4. (D) f(x) + g(x)