Asymptotes!
The asymptote of the function 3x3/x+8.
x = - 8
Infinite Discontinuity
DNE
When any number is divided by 0, it is called this.
Undefined
Name the types of asymptotes.
Horizontal Asymptote
Vertical Asymptote
Oblique/Slant Asymptote
The domain and range of the following function:
f(x) = 2x / x
Domain: All real numbers, x =/ 0
Range: All real numbers
A rational fraction with a polynomial, f(x), in the numerator, and another polynomial, q(x), in the denominator.
The asymptote(s) of the reciprocal function 1/f(x), where f(x) is x2 - 4.
y = 0
x = 2
x = -2
The limit as x approaches -2 for the function x2 - 4 / x+2
Give the technical term for expressions 0/0, infinity/infinity, and infinity0.
Indeterminate
The asymptote of the function f(x) = x3 + 27 / x + 3
x = -3
Hole/Removable Discontinuity
The asymptote of f(x) = x^2 +8 / x.
y = x
oblique
The several types of discontinuities.
Infinite, Hole, Jump
The asymptote(s) of the function f(x) = x3 + 8 / x2 - 4
x = 2
x
Infinite Discontinuity
Oblique/Slant Asymptote
The rule to find a horizontal asymptote
If the numerator is greater than the denominator, there is no horizontal asymptote.
If it is equal, it is the ratio between the coefficients.
If it is less than, it is at y = 0
The rule to find an oblique asymptote.
If the degree of the polynomial inside the numerator is exactly one greater than the degree of the denominator's polynomial, there will be an oblique asymptote.
Example: x3 +8 / x2