Inverse Relations and Reciprocal Functions
Constant of variation
When the degree is larger in the denominator, where is there a horizontal asymptote?
y=0
To add rational expressions there must be a _____
Common denominator
When two fractions are equal, you _______ to solve.
Cross multiply
x=-1
When the degree is larger in the numerator, where is the horizontal asymptote?
No horizontal asymptote
A value that makes the denominator zero is called an ______ value.
Excluded
A solution that makes the original denominator equal zero
Extraneous Solution
What is the term for a line that a graph does not touch or cross?
Asymptote
Where is the vertical asymptote?
y=(x-7)/(x+3)
x=-3
Add 4/5+1/12
53/60
Solve 2/x=5/10
x=4
What is the vertical asymptote for the reciprocal function, y=1/(x+2)-8
x=-2
Where is the horizontal asymptote?
y=6x/(3x-1)
If it takes Jeremy 3 hours to clean a whiteboard and Terry 1 hour to clean a whiteboard, how many hours will it take them to clean a whiteboard together?
3/4 of an hour
What is the horizontal asymptote for the reciprocal function, y=1/(x-2)-8
y=-8
Where are the vertical asymptotes?
y=1/(x^2-7x+10)
x=2, x=5
Subtract 3/(x+1)-2/(x)
(x-2)/(x^2-x)
15 hours