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Math Questions 15.3 - Cubic Graphs

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Types of Graphs Learning Material
Tutorial IDTitleTutorialVideo
Tutorial		Revision
Notes		Revision
Questions
15.3Cubic Graphs

Cubic Graphs Revision Questions

1. . Which of the following statements is CORRECT for the cubic graph shown in the figure below?

Math Tutorials: Cubic Graphs Example
  1. The coefficient a is negative
  2. The graph has three wiggles
  3. The corresponding equation ax3 + by2 + cx + d = 0 has three different roots
  4. The constant d is negative

Correct Answer: C

2. . Which of the following statements is CORRECT for the cubic graph shown in the figure below?

Math Tutorials: Cubic Graphs Example
  1. The coefficient a is negative
  2. The graph has one wiggle
  3. The corresponding equation ax3 + by2 + cx + d = 0 has two different roots
  4. The constant d is negative

Correct Answer: A

3. . Which of the following statements is WRONG for the cubic graph shown in the figure below?

Math Tutorials: Cubic Graphs Example
  1. The y-intercept of the graph is at (0, 2)
  2. The corresponding equation obtained for y = 0 has three roots
  3. The graph is a cubic one, as it has two wiggles
  4. The local maximum is 2 units away from the local minimum in the vertical direction

Correct Answer: D

4. . Which of the following statements is CORRECT for the cubic graph shown in the figure below?

Math Tutorials: Cubic Graphs Example
  1. The corresponding equation for y = 0 has three roots
  2. The graph has a single wiggle
  3. The y-intercept is at (0, 2)
  4. The local maximum is close to y = -1

Correct Answer: D

5. . How many x-intercepts does the graph of the cubic equation below have?

y = x3 - x2 - x + 1
  1. 0
  2. 1
  3. 2
  4. 3

Correct Answer: C

6. . What are the coordinates of the y-intercept of the cubic graph

y = -2x3 + 4x2 + 3x - 6
  1. (0, -6)
  2. (0, 6)
  3. (1, 0)
  4. (0, 0)

Correct Answer: A

7. . What is/are the x-intercept(s) of the equation

y = x3 - 2x2 - 3x
  1. -1, 0 and 1
  2. 0 and 1
  3. -1 and 0
  4. -1 and 1

Correct Answer: A

8. . Which of the following cubic graphs has both the coefficient a and the constant d negative?

Math Tutorials: Cubic Graphs Example

Correct Answer: C

9. . Where does the graph of the equation y = -x3 passes through? Recall the meaning of quadrants explained in the previous chapter and their position in the coordinates system: 1st quadrant = top-right; 2nd quadrant = top-left; 3rd quadrant = bottom-left; and 4th quadrant = bottom-right.

  1. In the 1st and 3rd quadrant
  2. In the 2nd and 4th quadrant
  3. In the 1st and 4th quadrant
  4. In the 2nd and 3rd quadrant

Correct Answer: B

10. . What is the difference between the biggest and the smallest x-intercept of the cubic graph obtained by the equation

y = -x3 - 3x2 + 4x
  1. 4 units
  2. 5 units
  3. 6 units
  4. 7 units

Correct Answer: B

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  5. Continuing learning types of graphs - read our next math tutorial: Reciprocal Graphs

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