Vertical
Asymptotes
Asymptotes
Horizontal Asymptotes
Definitions or Solving for Asymptotes
Misc.
75
letter/variable are vertical asymptotes represented by
the letter "x"
75
What letter/variable are the horizontal asymptotes represented by?
the letter "y"
75
Give the best definition for a hole in a graph.
A hole exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.
75
What is the definition of rational?
A rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator p and a non-zero denominator q.
100
The vertical asymptote affects the domain or the range?
domain
100
consider this: f(x)=g(x)/h(x)
if h(x) has a higher power what is the horizontal asymptote?
y=0
100
Give the Best Explanation for Vertical and Horizontal Asymptote.
The vertical asymptote is found when the denominator is zero. Sometimes the denominator must be factored to find the vertical asymptotes.
The horizontal asymptote is the value y approaches as x --> positive negative infinity
100
What are the Domains and Ranges in Asymptotes?
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
200
How are the vertical asymptote graphed?
To graph the vertical asymptote, you take the value of your vertical asymptote and find it on the x-axis and draw a continuous vertical line
200
consider this f(x)=g(x)/h(x):
if g(x) is higher than h(x) what is the horizontal asymptote?
there is no horizontal asymptote hehhee
200
y = [x2 + 2x - 3] / [x2 - 5x - 6] What are the values x CANNOT be?
x cannot be 6 or -1
200
What is the horizontal asymptote?
y=-1
300
What are the limits of the Vertical Asymptotes?
The vertical asymptote is a place where the function is undefined and the limit of the function does not exist.
300
How is the horizontal asymptote graphed?
To graph the horizontal asymptote, you take the value of your horizontal asymptote and find it on the y-axis and draw a continuous horizontal line
300
What is/are the vertical asymptote(s)?
x=0
300
Spongebob and Gary want to work together to decorate Spongebob’s pineapple house! Spongebob can paint a house in 4 hours and Gary can do it in 5 hours. However, they want to work together, how long will it take the two working together to finish decorating Spongebob’s house?
2.22 hours