Polynomials Increasing Decreasing
Quiz
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Anthony Clark
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For Graph #10, what is the interval where the function is decreasing?
(-1, 0) ∪ (1, ∞)
(-∞, -1) ∪ (0, 1)
(-∞, 0) ∪ (1, ∞)
(0, 1) ∪ (1, ∞)
Answer explanation
The function is decreasing in the intervals where the slope is negative. For Graph #10, this occurs in the intervals (-1, 0) and (1, ∞), making the correct answer (-1, 0) ∪ (1, ∞).
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For Graph #11, what is the interval where the function is decreasing?
(3, 5)
(-∞, 3)
(5, ∞)
(-∞, 5)
Answer explanation
The function is decreasing in the interval (3, 5) as indicated by the graph. In this range, the y-values of the function decrease as x increases, confirming that this is the correct interval for decreasing behavior.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For Graph #2, over which interval is the function decreasing?
(4, 6)
(2, ∞)
(0, 2)
(-∞, 4)
Answer explanation
The function is decreasing in the interval (4, 6) as the graph shows a downward trend in this range. Other intervals do not exhibit a decrease.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For Graph #3, over which interval is the function increasing?
(0, 2)
(-∞, 0) ∪ (2, ∞)
(2, ∞)
(4, 6)
Answer explanation
The function is increasing in the intervals where the slope is positive. In Graph #3, the function increases from (-∞, 0) and again from (2, ∞), making the correct answer (-∞, 0) ∪ (2, ∞).
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
For Graph #4, over which interval is the function decreasing?
(2, ∞)
(-∞, 2)
(0, 2)
(4, 6)
Answer explanation
The function is decreasing in the interval (2, ∞) as the graph shows a downward trend starting from x = 2 and continuing indefinitely. The other intervals do not reflect a decreasing behavior.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the interval of increase for Graph #5?
(3, 5)
(-∞, 3)
(5, ∞)
(-∞, 5)
Answer explanation
The interval of increase for Graph #5 is (3, 5) because the graph rises between these x-values. The function is increasing in this range, while it decreases outside of it.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the interval of decrease for Graph #6?
(-∞, -3)
(-3, ∞)
(0, 3)
(3, ∞)
Answer explanation
Graph #6 decreases on the interval (-∞, -3) because the function values are falling as x approaches -3 from the left. Beyond -3, the graph may increase or remain constant.
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