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Inverse Relations and Reciprocal Functions
Rational Functions
Simplifying Rational Expressions
Rational Equations
100
What is the term for k in an inverse relation?

Constant of variation

100

When the degree is larger in the denominator, where is there a horizontal asymptote?

y=0

100

To add rational expressions there must be a _____

Common denominator

100

When two fractions are equal, you _______ to solve.

Cross multiply

200
If x=3 when y=4, what is x when y=-12?

x=-1

200

When the degree is larger in the numerator, where is the horizontal asymptote?

No horizontal asymptote

200

A value that makes the denominator zero is called an ______ value.

Excluded

200

A solution that makes the original denominator equal zero

Extraneous Solution

300

What is the term for a line that a graph does not touch or cross?

Asymptote

300

Where is the vertical asymptote? 

y=(x-7)/(x+3)

x=-3

300

Add 4/5+1/12

53/60

300

Solve 2/x=5/10

x=4

400

What is the vertical asymptote for the reciprocal function, y=1/(x+2)-8

x=-2

400

Where is the horizontal asymptote? 

y=6x/(3x-1)

y=2
400
Add 1/x+3/5
(5+3x)/5x
400

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

500

What is the horizontal asymptote for the reciprocal function, y=1/(x-2)-8

y=-8

500

Where are the vertical asymptotes?

y=1/(x^2-7x+10)

x=2, x=5

500

Subtract 3/(x+1)-2/(x)

(x-2)/(x^2-x)

500
A full pool's outlet pipe is left open, which can normally drain the pool in 6 hours. But it is raining so hard that the pool would be filled in 10 hours from the rain. How long will it take to drain the pool if it rains the whole time?

15 hours