Simplify
Multiply
Divide
+ & -
Vocab
100
x(x+4) -------- (x+4)(x-2)
x --- x-2
100
3 x -- * -- x 30
1 -- 10
100
5 15 -- / --=--- x x^2
x --- 3
100
3 1 5 -- + --- + --- 8x 3x 12x
9 --- 8x
100
where the graph crosses the x-axis
x-intercept
200
10x^5 ______ 2x^2(x+1)
5x^3 _____ x+1
200
15x 2y ---- * --- 23x 5
6y --- 23
200
x^3 x ----- / --- 24 6
x^2 ----- 4
200
8 5x ---- + ----- 6xy 6xy
5x+8 ----- 6xy
200
Complete set of possible values of the independent variable of a function
Domain
300
6y(y+3) --------- 2y(y+3)(y-6)
3 ----- y-6
300
18b^2 x-y -------- * ---- x-y 6b
3b
300
a-b a-b -------- / ----- 64x^2 8x^4
x^2 ------ 8
300
2a+b a-2b ---------- + ------ a^2b^3 ab^2
2a+b+a^2b-2ab^2 ---------------------- a^2b^3
300
any function which can be defined by a rational fraction
Rational Function
400
(y+4)(y-1) ------------- 7y(y-1)(y+2)
y+4 -------- 7y(y+2)
400
64y^3 8-y ------- * -------- y-8 (4y)^3
-1
400
x^2-2x-8 9x^2-18x ----------- / ------------- 3x-12 x^2-4
3x
400
x^2-2x+3 x^2-4x-5 --------------- _ -------------- x^2+7x+12 x^2+7x+12
2 ----- x+3
400
A fraction in which the numerator and/or the denominator are polynomials.
Rational Expression
500
5m^3-20m -------------------------- m^4 + 5m^3 + 6m^2
5(m-2) -------- m(m+3)
500
y^2+2y-3 4y^2-24y ------------ * ------------ y^2-3y-18 2y-2
2y
500
8x^2 + 6x -9 4x^2 +5x -6 ------------------ / ---------------- 25x^2 -10x +1 5x^2 +9x -2
2x+3 ------ 5x-1
500
8a+6 4a+2b ------ _ ------- 4ab 4ab
4a-2b-6 --------- 4ab
500
a line that continually approaches a given curve but does not meet it at any finite distance.
Asymptote
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