Vocabulary
What is the relationship between x and y when in this format, y = ax?
direct variation
Which of the following is y = a/x?
a. Direct Variation
b. Inverse Variation
c. Neither
d. Both a and b
What is the center of the form?
y = (ax + b)/(cx + d)
(x, y)
What has to be broken before you can use it?
an egg
What do you call the form where p(x) is divided by q(x)?
Rational Function
Tell whether x and y show direct variation, inverse variation, or neither.
y = 2x
neither
What is the center of this equation?
y = (2/x + 1) - 5
( -1, -5)
What begins with T, finishes with T, and has T in it?
Teapot
Consisting of two symmetrical lines in a Rational Function is called?
branches
The variables x and y vary inversely, and y = 8 when x = 5. Write an equation that relates x and y. Then find y when x = -4
-10
What is the parent function of rational functions look like?
y = 1/x
What goes up but never comes back down?
Age
Horizontal Asymptote
The variables x and y vary directly, and y = 10 when x = 1/4. Write an equation that relates x and y inversely. Then find y when x = 2
Complete the table of the equation y = 2/x + 1
x | -3 | -2 | -1 | 1 | 2 | 3|
y | | | | | | |
y | 0.3 | 0 | -1 | 3 | 2 | 1.67 |
No matter what, what can you always count on?
your fingers
Why is 0 not the result of any denominator in a rational function?
because that is a mathematical error or undefined
Tell whether x and y show direct variation, inverse variation, or neither.
x | 1 | 2 | 3 | 4 |
y |60|30|15|7.5|
neither
What is the center, domain, and range of the equation y = (6x + 2)/(3x - 12)
What is full of holes but still holds water?
Sponge