Show:
Translations
Variations
Rational Functions
Rational Expressions
8.5 - 8.6
100
Y/(x) + 5
What is the translation of Y/(x) when Y is 5?
100
Inverse variation
What is the variation if X is increasing and Y is decreasing?
100
Removable
What is a point of discontinuity if it cancels?
100
Keep, Change, Flip
What is the first step when dividing a rational expression?
100
Find what both denominators share and that will become your least common denominator
What is the way to find the least common denominator?
200
Y/(x-5)
What is the translation of y/(x) when x is 5?
200
Direct variation
What is the variation if X is increasing and Y is increasing?
200
Cancel only factors in numerator with same factors in denominator
What is the canceling rule when multiplying rational expressions?
200
Look at the degrees to determine horizontal asymptote
What is the way to find the horizontal asymptote?
300
Y/(x-27) -4
What is the translation of y/(x) when x is 27 and Y is -4?
300
Y = K/X, -7/1 = K/8, -56 = K
What is K when X and Y vary inversely and X is 8 and Y is -7?
300
X-2 / (x-1) (x+3), X=1, X=-3
What is the vertical asymtotes of x-2 / (x-1) (x+3)?
300
3c would be pulled out of the numerator leaving it as 3c(2c + 3) / 3c
What is the number that would be pulled out of the numerator of the rational expression, 6c^2 + 9c / 3c
300
Set the bottom of expression equal to zero.
What is the way to find the horizontal asymptote?
400
Y/(x + 480)
What is the translation of y/(x) when x is -480?
400
Inverse Variation
What is Y = K/X?
400
Horizontal Asymtote of Y=0
What is the horizontal asymptote if denominator has bigger degree?
400
4x / -1
What is the simplified version of 24x^3 / -6x^2?
400
Find the least common denominator and multiply by all the numerators.
What is the first step in solving a rational equation?
500
Y/(x + 1) + 0
What is the translation of y/(x) when y is 0 and x is -1?
500
Jointly or Direct Varation
What is Y = KX?
500
Horizontal Asymtote = none
What is the horizontal asymptote if the numerator has bigger degree?
500
X can't be 3 and Y can't be -4
What is the restrictions of Y and X when the expression is x-3 / y+4?