Graphing

Question 1

Rules for horizontal asymptotes for a polynomial

Answer 1

ax^n / bx^m
n has a higher exponent: no asymptote
n has a lower exponent: asymptote at 0
Highest exponents are equal: a/b

Question 2

How are derivatives used in graphs

Answer 2

f’(x) - critical points, verify increase/decrease between

f ‘‘(x) - inflection points, verify concave/convex between

Question 3

Rules of asyntopes

Answer 3

Vertical: y=a/b where b=0
Horizontal: y=x^a/x^b where b>a (y not 0)
y=x^a/x^b where a=b (y not a/b)
Slant: y=x^a/x^b where a+1=b

Question 4

Rules of asyntopes

Answer 4

Vertical: y=a/b where b=0
Horizontal: y=x^a/x^b where b>a (y not 0)
y=x^a/x^b where a=b (y not a/b)
Slant: y=x^a/x^b where a+1=b