9th class Math, Chapter 10: Graphs of Functions MCQs

1. x = 5 represents:

1. (A) x-axis
2. (B) y-axis
3. (C) line parallel to x-axis
4. (D) line parallel to y-axis ✓

2. The slope of the line y = 5x + 3 is:

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

3. The y-intercept of y = −2x − 1 is:

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

4. The graph of y = x³ cuts the x-axis at:

1. (A) x = 0 ✓
2. (B) x = 1
3. (C) x = −1
4. (D) x = 2

5. The graph of 3^x represents:

1. (A) growth ✓
2. (B) decay
3. (C) both (a) and (b)
4. (D) a line

6. The graph of y = −x² + 5 opens:

1. (A) upward
2. (B) downward ✓
3. (C) left side
4. (D) right side

7. The graph of y = x² − 9 opens:

1. (A) upward ✓
2. (B) downward
3. (C) left side
4. (D) right side

8. y = 5^x is a ______ function.

1. (A) linear
2. (B) quadratic
3. (C) cubic
4. (D) exponential ✓

9. A reciprocal function is:

1. (A) y = 7^x
2. (B) y = 2/x ✓
3. (C) y = 2x²
4. (D) y = 5x³

10. y = −3x³ + 7 is a ______ function.

1. (A) exponential
2. (B) cubic ✓
3. (C) linear
4. (D) reciprocal

11. The general form of a linear function is:

1. (A) y = ax² + bx + c
2. (B) y = ax³ + bx² + cx + d
3. (C) y = a/x
4. (D) y = mx + c ✓

12. In y = mx + c, the number c is the:

1. (A) x-intercept
2. (B) slope
3. (C) origin
4. (D) y-intercept ✓

13. The graph of y = mx + c with m > 0:

1. (A) falls from left to right
2. (B) is horizontal
3. (C) is vertical
4. (D) rises from left to right ✓

14. The graph of a quadratic function is called a:

1. (A) circle
2. (B) parabola ✓
3. (C) hyperbola
4. (D) straight line

15. The graph of y = ax² + bx + c opens upward if:

1. (A) c > 0
2. (B) a > 0 ✓
3. (C) a < 0
4. (D) b > 0

16. The graph of y = −x² passes through:

1. (A) (0, −1) and opens downward
2. (B) the origin and opens downward ✓
3. (C) the origin and opens upward
4. (D) (0, 1) and opens upward

17. The standard form of a cubic function is:

1. (A) y = a/x
2. (B) y = ka^x
3. (C) y = ax³ + bx² + cx + d ✓
4. (D) y = ax² + bx + c

18. The graph of a cubic function can have at most ______ turning points.

1. (A) four
2. (B) two ✓
3. (C) one
4. (D) three

19. A reciprocal function has the form:

1. (A) y = a/x ✓
2. (B) y = ax
3. (C) y = ax²
4. (D) y = a^x

20. A line that a graph approaches but never touches is called a(n):

1. (A) asymptote ✓
2. (B) tangent
3. (C) intercept
4. (D) axis of symmetry