What does a positive first derivative indicate about a function's behavior?

Understanding Increasing and Decreasing Functions

Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Easy

Emma Peterson
Used 2+ times
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The function is decreasing.
The function is increasing.
The function has a maximum point.
The function is constant.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the quadratic function example, what is the critical number found?
3/2
2
0
1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the quadratic function f(x) = x^2 - 3x + 1, in which interval is the function increasing?
(-∞, 3/2)
(0, 3/2)
(-∞, 0)
(3/2, ∞)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in analyzing the cubic function f(x) = x^3 - 9x^2 + 24x?
Set the function equal to zero.
Graph the function.
Find the second derivative.
Find the first derivative.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the cubic function example, what are the critical numbers found?
0 and 5
2 and 4
1 and 3
3 and 6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the cubic function, in which interval is the function decreasing?
(4, ∞)
(-∞, 2)
(0, 3)
(2, 4)
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the graph of the absolute value function shifted when considering |x - 3|?
3 units to the left
3 units to the right
3 units up
3 units down
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