Long Division
(x^2+3x-10)/(x-2)
x+5
(x^2+x-2)/(x-1)
x+2
Is this a polynomial function and what is the degree
f(x)=7x2+9x4
Yes, degree 4
f(x)=x/x-3
Find vertical asymptote.
x=3
Find the domain
f(x)=7x/x-8
(x l x does not equal 8)
(x^3-2x^2-5x+6)/(x-3)
x^2+x-2
(5x^2-12x-8)/(x+3)
5x-27+73/x+3
g(x)=6x7+mx5+2/3x
Is it a polynomial? What is the degree?
polynomial function; degree 7
g(x)=x+3/x(x-3)
Find the vertical asymptote.
x=0, x=3
Find the domain
g(x)=2x2/(x-2)(x+6)
(x l x does not equal 2, x does not equal -6)
(6x^3+17x^2+27x+20)/(3x+4)
2x^2+3x+5
x7-128/x-2
x6+2x5+4x4+8x3+16x2+32x+64
h(x)= 8x3-x2+2/x
Is it a polynomial function? What is the degree?
not a polynomial function
f(x)=15x/3x2+1
find horizontal asymptote.
y=0
h(x)=x+8/x2+64
Find the domain
(x l x does not equal 8, x does not equal -8)
(4x^2-8x+6)/(2x-1)
2x-3+3/2x-1
(x2-6x-6x3+x4)/(6+x)
x3-12x2+73x-444+2664/x+6
f(x)=x3-4x2
What is the end behavior?
Falls to the left, rises to the right
g(x)=15x2/3x2+1
find horizontal asymptote
y=5
Find the domain
f(x)=x+8/x2+64
all real numbers
3x^2-2x+5/x-3
3x+7+26/x-3
(x5+4x4-3x2+2x+3)/(x-3)
x4+7x3+21x2+60x+182+549/x-3
f(x)=-x3-x2+5x-3
What is the end behavior?
Falls to the right, rises to the lefts
find the slant asymptote
f(x)=x2-4/x
y=x
Find the domain
f(x)=x+7/x2+49
all real numbers