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The k value in both inverse and direct variation
What is the constant of variation?
A point of discontinuity that can be redefined by a value. This creates a hole in the graph.
What is a removable discontinuity?
Simplify:
(x^2+x)/(x^2+2x)
What is
(x+1)/(x+2)
The restrictions on the variables given
(x+5)/(x^2-9)
What are
x ne+-3
The product of
(x^2+x-6)/(x-5)*(x^2-25)/(x^2+4x+3)
What is
(x^2+3x-10)/(x+1)
Determine the least common multiple:
x^2-1 and x^2+2x+1
What is
(x+1)^2(x-1)
Solve:
x/4=(x+1)/3
What is x = -4
As an equation, y = k/x
What is inverse variation?
Given the equation below, the x-value that creates a removable discontinuity.
(x^2-3x-4)/((x-4)(x-1))
What is x = 4?
Simplify:
(x^2-3x-18)/(x^2-36)
What is
(x+3)/(x+6)
The restrictions on the variables
(x^2+6x-16)/(x^2+2x-8)
What are
xne2, -4
Multiply:
(x^2+9x+20)/(x^2-16)*(x+4)/(5x+25)
What is
(x+4)/(5(x-4))
Determine the least common multiple:
2x^2(x+4)(x+2) and y^3(x+4)(x+2)
What is
2x^2y^3(x+4)(x+2)
Solve
x/(x-3)+x/(x+3)=2/(x^2-9)
What is x = 1 or -1
x = a such that f(x) is not continuous at "a" and "a" is not in the domain of the function
What is a point of discontinuity?
A point of discontinuity that cannot be redefined.
What is a non-removable discontinuity.
Simplify
(3x^2-12)/(x^2-x-6)
What is
(3x-6)/(x-3)
The restrictions of the variable given
(2x+12)/(3x-9)*(6-2x)/(3x+8)
What are
xne3, -8/3
Divide:
(3y-12)/(2y+4)div(6y-24)/(8+4y)
What is 1
Determine the least common multiple
5x^2-80 andx^2+8x+16
What is
5(x-4)(x+4)^2
Solve:
(x-1)/(x^2+3x+2)+(2x)/(x+2)=(x-1)/(x+1)
What is no solution.
A graph that has no holes, jumps, or breaks.
What is a continuous graph?
Part of the graph created from a non-removable discontinuity.
What is a vertical asymptote?
Simplify
(x^2+3x)/(x^2+x-6)
What is
x/(x-2)
The restrictions of the variable given
(3y-12)/(2y+4)div(6y-24)/(8+4y)
What are
yne-2, 4
Divide:
(2-x)/(x^2+2x+1)div(x^2+3x-10)/(x^2-1)
What is
(-x+1)/((x+1)(x+5))
Determine the least common multiple
x^2+3x-4, x^2+2x-8, and x^2-4x+4
What is
(x-2)^2(x+4)(x-1)
Solve:
x/(x+1)+3/(x+4)=(x+3)/(x+4)
What is x = 0
A function you can write in the form: f(x) = P(x)/Q(x)
What is a rational function?
Given the equation below, the x-value that creates a non-removable discontinuity.
(x^2-5x+4)/((x-4)(x+1))
What is x = -1
(9x^4+18x^3-27x^2)/(9x-6x^2-3x^3)
Simplify
What is -3x
The restrictions on the variables given
(x^2+2x)/(x(x+1)^-1(x^2+3x-4))
What are
xne0, -4, 1
Divide:
(8x^2y)/(x+1)/(6xy^2)/(x+1)
What is
(4x)/(3y)
Determine the least common multiple
12x^2y(x^2+2x+1) and 18xy^3(x^2+5x+4)
What is
36x^2y^3(x+1)^2(x+4)
Solve:
(7x+3)/(x^2-8x+15)+(3x)/(x-5)=1/(3-x)
What is x = 1 or -2/3