Asymptotes
spell asymptote both forwards and backwards
a-s-y-m-p-t-o-t-e and e-t-o-t-p-m-y-s-a
reenact dizzy the covid dragon while explaining how rational functions can be used in real life
u guys should become the dizzy's dizzetts and be featured in the weekly videos >:)
"make an improv skit as if one of you are a vertical asymptote and the other is the line on the graph (so close but so far)"
wowoww im impressed, u guys should be math professors >:)
how many google slides did we have in our presentation?
correct answer issss....19 lolol
perform (sing, dance, or rap) a song for us as a group >:)
even better if it's about math >:)))
good job! here's 50 points u lil skilled performers >:)
letter/variable are vertical asymptotes represented by
the letter "x"
What letter/variable are the horizontal asymptotes represented by?
the letter "y"
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.
solve for z
2/x = 1/y - 1/z
z = xy/x-2y
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.
The vertical asymptote affects the domain or the range?
domain
consider this: f(x)=g(x)/h(x)
if h(x) has a higher power what is the horizontal asymptote?
y=0
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
solve for a (btw * = multiply)
T=1/2*h(a+b)
a = [2T-bh]/h
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.
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
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
y = [x2 + 2x - 3] / [x2 - 5x - 6] What are the values x CANNOT be?
x cannot be 6 or -1
find the x and y intercept
y=(x+4)/(x-1)
(-4,0) (0,-4)
What is the horizontal asymptote?
y=-1
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.
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
What is/are the vertical asymptote(s)?
x=0
What are all the asymptotes (vertical and horizontal) of f(x)=2/x+3
x=-3 and y=0
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