Graphing
1/x
What is the parent graph for a rational function?
the degree of the denominator is GREATER THAN the degree of the numerator
Proper Rational Function
What is the product of x^2-25/x^2+4x+3 and x^2+x-6/x-5
x does not equal -1
What is the sum of 1/ 3x^2+21x+30 and 4x/ x^2+15x
12x^2+85x+135/ 3(x+5)(x+2)(x+15)
a/x-h +k
What is the graphing form of a rational function?
the degree of the denominator is LESS THAN the degree of the numerator
Improper Rational Function
What is the quotient of x^2+5x+4/x^2+x-12 and x^2-1/2x^2-6x
x does not equal 1
What is the difference of 2x/ x^2-2x-3 and 3/ 3x+4
5x+9/ 4(x-3)(x+1)
Vertical lines near which the function grows without bound
Vertical Asymptote
the quotient of two polynomials
Rational Expression
What is the product of 4x+8/ x^2+25 and x-5/ 5x+10
4/5(x+5)
3(-2/3)=-2
Horizontal lines that the graph of a function approaches as x goes to positive and negative infinity
Horizontal Asymptote
the polynomials of a rational expression have no common factors
Simplest Form
What is the quotient of 3x^4/ 4 and 9x/ 10
5x^3/ 6
xy-3y=5
y=5/x-3
when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Slant Asymptote
having gaps in a graph
Discontinuous
What is the quotient of 4x+12/ 16x^2 and x^2-9/ x^2-x-6
x+2/ 4x^2
xy+4x=5
y=5-4x/x