Home Library Explore SAT

Home Library Explore SAT

5.3 calculus analyzing graphs of functions Flashcards | StudBud

Explore/5.3 calculus analyzing graphs of functions

5.3 calculus analyzing graphs of functions

10 terms·StudBud Administration·50 plays

applications of the first and second derivative test, inflection points, concavity,critical points. #calculus #derivatives #applicationsofderivatives #apcalculus

Flashcards10 cardsFPractice quizPHost liveL

Questions 10

Answers

1
Find the inflection point for the function f(x)=x⁴-x .
x = ∛(1/4)
No point of inflection
x = 0
x = 1
2
Find the interval over which the given function is decreasing.
(-∞, 1)
(-2, 4)
(1, ∞)
(-∞, -2) U (4,∞)
3
The Second Derivative Test...
Locates point of inflection on f(x)
Determines the concavity of f(x)
Determines if critical points are local extrema on f(x)
Locates critical points on f(x)
4
Find the interval over which the given function is concave up.
(-2, 4)
(-∞, 1)
(-∞, -2) U (4,∞)
(1, ∞)
5
Based on the sign chart, which of the following statements is false?
f(x) has a relative minimum at x=5
f(x) has three critical points
f(x) has a relative maximum at x=-6
f(x) has two critical points
6
The function shown here appears to have how many points of inflection?
4
3
2
5
7
The function shown here appears to have how many critical points?
5
3
2
4
8
The First Derivative Test...
Locates point of inflection on f(x)
Determines if critical points are local extrema on f(x)
Determines the increasing and decreasing behavior of f(x)
Locates critical points on f(x)
9
Based on the sign chart, which of the following statements is false?
f(x) has three points of inflection
f(x) is concave down on (0,5)
f(x) has two points of inflection
f(x) is concave up on (-∞,-6)
10
A point of inflection can be found when...
f'(x)=0 or undefined
f"(x) changes signs
f"(x)=0 or undefined
f'(x) changes signs