stud
bud
Sign up
Log in
Home
Library
Explore
SAT
More
Calculus: 3.6 Summary of Curve Sketching Flashcards | StudBud
Explore
/
Calculus: 3.6 Summary of Curve Sketching
Calculus: 3.6 Summary of Curve Sketching
20 terms
·
StudBud Administration
·
13 plays
#curvesketching #derivatives #grade_12 #higher_education #math #calculus
Flashcards
20 cards
F
Practice quiz
P
Host live
L
Questions
20
Answers
1
Zeros are found by setting ________ equal to zero.
factors left in the denominator
factors left in the numerator
factors left in the numerator after holes are found
factors left in the denominator after holes are found
2
If the degree of the numerator is less than the degree of the denominator, then...
Horizontal Asymptote is y = 0
Vertical Asymptote is y = x
SA is y = Numerator/Denominator
Horizontal Asym. is y = lead coefficient of num./lead coefficient of den.
3
If the degree of the numerator is equal to the degree of the denominator, then...
SA is y = Numerator/Denominator
HA is y = lead coefficient of num./lead coefficient of den.
SA is y = x
HA is y = 0
4
How are intervals where f(x) is concave down found?
f"(c) < 0
f"(c) has no sign change
f"(c) > 0
f"(c) changes sign
5
How is a minimum found?
f"(c) > 0
f"(c) < 0
f"(c) changes from increasing to decreasing
f"(c) changes from decreasing to increasing
6
A minimum occurs at x=c if...
f'(c) changes from increasing to decreasing
f'(c) changes from decreasing to increasing
f'(c) has no sign change
f"(c) < 0
7
Holes are found by setting _______ equal to zero.
with a shovel :D
common factors in numerator and denominator
factors of the denominator
factors of the numerator
8
How are intervals where f(x) is concave up found?
f"(c) changes signs
f"(c) > 0
f"(c) has no sign change
f"(c) < 0
9
How are intervals of increasing found?
f'(c) changes signs
f'(c)=0
f'(c) < 0
f'(c) > 0
10
How are intervals of decreasing found?
f'(c) dne
f'(c) changes signs
f'(c) < 0
f'(c) > 0
11
How are points of inflection found?
f"(c) > 0
f"(c) changes sign
f'(c) changes sign
f"(c) < 0
12
How are critical points found?
f"(x)=0 and f"(x) dne.
f'(x) dne
f'(x)=0
f'(x)=0 and f'(x) dne
13
Vertical asymptotes are found by setting ______ equal to zero.
factors left in the denominator after holes are found
factors left in the denominator
factors left in the numerator after holes are found
factors left in the numerator
14
If f(x) = f(-x), then...
f(x) is even
f(x) is odd
f(x) is prime
f(x) has no symmetry
15
If f(x) = -f(x), then...
f(x) is odd
f(x) is even
f(x) has no symmetry
f(x) is prime
16
How are extrema found?
f"(c)=0 and f"(c) dne
f"(c) changes signs
f'(c) changes signs
f'(c)=0 and f'(c) dne
17
If f(x) is not equal to f(-x) or -f(x), then...
f(x) is even
f(x) has no symmetry
f(x) is odd
f(x) is prime
18
How are
possible
points of inflection found?
f"(c) has a sign change
f"(c) dne
f"(c)=0 and f"(c) dne
f"(c)=0
19
How is a maximum found?
f"(c) changes from increasing to decreasing
f"(c) > 0
f"(c) changes from decreasing to increasing
f"(c) < 0
20
A maximum occurs at x=c if...
f'(c) has no sign change
f'(c) changes from decreasing to increasing
f'(c) changes from increasing to decreasing
f"(c) > 0
