Math Questions 15.3 - Cubic Graphs

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Cubic Graphs Revision Questions

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

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

Reveal AnswerCorrect Answer: C

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

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

Reveal AnswerCorrect Answer: A

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

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

Reveal AnswerCorrect Answer: D

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

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

Reveal AnswerCorrect Answer: D

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

1. 0
2. 1
3. 2
4. 3

Reveal AnswerCorrect Answer: C

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

1. (0, -6)
2. (0, 6)
3. (1, 0)
4. (0, 0)

Reveal AnswerCorrect Answer: A

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

1. -1, 0 and 1
2. 0 and 1
3. -1 and 0
4. -1 and 1

Reveal AnswerCorrect Answer: A

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

Reveal AnswerCorrect 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

Reveal AnswerCorrect Answer: B

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

1. 4 units
2. 5 units
3. 6 units
4. 7 units

Reveal AnswerCorrect Answer: B

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1. Practice Questions Feedback. Helps other - Leave a rating for this practice questions (see below)
2. Types of Graphs Math tutorial: Cubic Graphs. Read the Cubic Graphs math tutorial and build your math knowledge of Types of Graphs
3. Types of Graphs Revision Notes: Cubic Graphs. Print the notes so you can revise the key points covered in the math tutorial for Cubic Graphs
4. Check your calculations for Types of Graphs questions with our excellent Types of Graphs calculators which contain full equations and calculations clearly displayed line by line. See the Types of Graphs Calculators by iCalculator™ below.
5. Continuing learning types of graphs - read our next math tutorial: Reciprocal Graphs

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