AP Calculus 5.1 Increasing & Decreasing Functions
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
Patrick Antonucci
FREE Resource
5 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function f is differentiable on an open interval (a,b) and its derivative f'(x) > 0 for all x in (a,b), what can be concluded about f on that interval?
f is decreasing
f is increasing
f is constant
f has a local maximum
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If a function f is differentiable on an open interval (a,b) and its derivative f'(x) < 0 for all x in (a,b), what can be concluded about f on that interval?
f is increasing
f is decreasing
f is constant
f has a local minimum
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For the function f(x) = (x^2 - 1)^(2/3), what are the critical values?
x = 0
x = ±1
x = 0, x = ±1
x = -1, x = 1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is used to determine that the velocity of the object is zero at least two times within the given time intervals?
Mean Value Theorem
Extreme Value Theorem
Intermediate Value Theorem
Rolle's Theorem
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
For a function f(x) modeling plant yield, how is the yield determined to be increasing or decreasing?
Increasing when f(x) > 0, decreasing when f(x) < 0
Increasing when f'(x) > 0, decreasing when f'(x) < 0
Increasing when f''(x) > 0, decreasing when f''(x) < 0
Increasing when f(x) is concave up, decreasing when f(x) is concave down
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