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Algebra II Ch5
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Gravity
Terms in this set (18)
How do you find the hole?
find a factor common to the numerator and denominator. set it to 0. solve for x.
Write as (x, what you get when you plug x in the equation)
How do you find the vertical asymptote?
Set the denominator equal to 0 and solve for x.
write as "x=?"
What is the other name for the vertical asymptote?
Not Domain (x ≠ ?)
What is the other name for the horizontal asymptote?
Not Range (y ≠ ?)
How to find x int?
find the zeros of the non-common factors of the numerator
How to find y int?
y=last coefficient of p(x) / last coefficient of q(x)
(Divide last top number by last bottom number)
How to simplify an expression
1) solve the addition/subtraction/multiplication/division problem (leave everything in terms) (might involve common denominators)
2) cross out terms that cancel
3) reduce
How to multiply an expression
1) find a common denominator for the entire problem
2) multiply the numerators by what is not a common denominator for that part (leave in terms form)
3) eliminate terms held in common by the numerator of the first fraction and the denominator of the second fraction and vice versa
4) put everything over that common denominator (ur not solving for x)
5) simplify
How to add / subtract an expression
1) find a common denominator
2) multiply by common denominator to get terms to equal each other
3) (add / subtract) the numerators
4) put the numerator over the common denominator
5) simplify
How to divide expression?
1) change the divide sign to multiply
2) flip the second equation
3) multiply across
4) reduce
How do you find the horizontal asymptote
1) look at the degree
2) think of greater none, equal ratio, less zero (good night emergency room landing zone)
what is the HA if the degree of the numerator is larger than the degree of the denominator?
no horizontal asymptotes
what is the HA if the degree of the numerator is smaller than the degree of the denominator?
y=0
what is the HA if the degree of the numerator is equal to the degree of the denominator?
y=k
You get k by dividing the first coefficient of the numerator by the first coefficient of the denominator
Good Night
GREATER numerator = NO horizontal asymptote
Emergency Room
Numerator and denominator are EQUAL, find RATIO to get horizontal asymptote
Landing Zone
if the degree of the numerator is LESS than the degree of the denominator, the horizontal asymptote is ZERO
how to write a function as a single fraction
1) multiply by common denominator
2) combine like terms/simplify
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