What classifies a strictly decreasing function?

a function that is decreasing and has no flat areas

What is a point of inflection?

a point where the graph changes concavity

What is the First Derivative Test?

a test used to determine local extremas

What is a critical point in calculus?

The point where the first derivative of a function equals zero or undefined

studbud

Calc Function Analysis max/min and concavity

13 termsStudBud Administration

AP Calculus AB, derivatives, concavity, relative maximum, relative minimum, point of inflection. absolutes, critical value

Flashcards13 cardsFPractice quizPHost liveL

Questions 13

Answers

1
What classifies a strictly decreasing function?
a function that is decreasing and has no flat areas
a function that is decreasing and has flat areas
a function that is decreasing
none of these
2
Using the Second Derivative Test, what is f"(c)>0?
a vertical asymptote
a relative minimum
a relative maximum
a horizontal asymptote
3
What is a point of inflection?
a point where the graph is undefined
a point where the graph changes slope
a point where the graph changes concavity
a point where the graph changes signs
4
Using the Second Derivative Test, what is f"(c)<0?
a relative minimum
a horizontal asymptote
a vertical asymptote
a relative maximum
5
f'(x) is graphed below. What interval is f(x) increasing?
\left(-1,∞\right)
\left(3,∞\right)
\left(-1,3\right)
\left(-∞,-1\right)
6
What is the First Derivative Test?
a test used to determine local extremas
a test used to determine limits
a test used to determine all values
a test used to determine points of inflection
7
What does this graph have?
All of these
Relative Maximum
Relative Minimum
Point of Inflection
8
What local extremas does this graph have?
no relative minimum or maximum
a relative minimum only
a relative maximum only
both a relative minimum and maximum
9
On an FRQ, are sign charts sufficient justifications?
Only when finding the local extremas
Yes
Depends on the circumstances
No, you must summarize answer
10
What is a critical point in calculus?
The point where the first derivative of a function equals zero or undefined
The point where the second derivative of a function equals zero
The point where a function intersects the x-axis
The point at which a function is undefined
11
To determine if a function is increasing or decreasing, use this calculus concept.
f"
dy/dx
2nd Derivative Test
f(x)
12
The first step to finding the points of inflection is setting __________.
f(x)=0, undef
f"(x)=0, undef
f'(x)=0, undef
none of these
13
How is a critical value found?
by setting f(x)=0, undef
by setting f'(x)=0,undef
none of these
by setting f"(x)=0, undef

Calc Function Analysis max/min and concavity Flashcards | StudBud