End Behavior
Determine the end behavior of the function.
f(x)= -4x8-5x
lim f(x) = -oo
x -> -oo
lim f(x) = -oo
x -> oo
Find the degree of the following polynomial.
f(x)= 5x+6x3-7
Degree 3
Find the y-intercept of the polynomial.
f(x)=5x2+7x-27
y-int = (0,-27)
Determine the zeros and the multiplicity of each zero.
f(x)=(2x-1)2(x+7)3(x-1)
Zeros:
x = 1/2 Mult 2
x = -7 Mult 3
x = 1 Mult 1
Determine the end behavior of the function.
f(x)=(2x-8)3
lim f(x) = -oo
x -> -oo
lim f(x) = oo
x -> oo
Find the degree of the following polynomial.
f(x)=3x2(4x3-5x)
Degree 5
Find the y-intercept of the polynomial.
f(x)=5(x+4)(x-2)
y-int = (0,-40)
Determine the zeros and the multiplicity of each zero.
f(x)=5x4(10x-1)(x-2)3
Zeros:
x = 0 Mult 4
x = 1/10 Mult 1
x = 2 Mult 3
Determine the end behavior of the function.
f(x)=(3x2-5)(5-2x)
lim f(x) = oo
x -> -oo
lim f(x) = -oo
x -> oo
Find the leading coefficient of the following polynomial.
f(x)=-5x2(2x-1)(x3+7)
L.C.: -10
Find the x-intercept(s) of the polynomial.
f(x)=3(x-7)(5x+2)2
x-int: (7,0), (-2/5,0 )
Determine the zeros and the multiplicity of each zero.
f(x)=7x3-x2-28x+4
Zeros:
x = 2 Mult 1
x = -2 Mult 1
x = 1/7 Mult 1
Determine the end behavior of the function.
f(x)= (x4-5)(2x3+3x4)
lim f(x) = oo
x -> -oo
lim f(x) = oo
x -> oo
Find the leading term of the following polynomial.
f(x)=(x3-x5)(2x2+7x)
L.T.: 2x7
Find the x-intercept(s) of the polynomial.
f(x)=x2+3x
x-int: (0,0), (-3,0)
Determine the zeros, the multiplicity of each zero, and whether the function intersects or is tangent to the x-axis at that zero.
f(x)=(2x-3)3(x-5)(x+7)2
Zeros:
x=3/2 Mult 3 Intersects
x=5 Mult 1 Intersects
x=-2 Mult 2 Tangent
Determine the end behavior of the function.
f(x)=-4x2(x+5)(x2-2)
lim f(x) = oo
x -> -oo
lim f(x) = -oo
x -> oo
Find the leading term of the following polynomial.
f(x)=-3x4(2x+4)2(x-1)
L.T.: -12x7
Find the x-intercept(s) of the polynomial.
f(x)=x6-x4-12x2
x-int: (0,0), (-2,0), (2,0)
Determine the zeros, the multiplicity of each zero, and whether the function intersects or is tangent to the x-axis at that zero.
f(x)=4(3x2+5x+2)
Zeros:
x=-2/3 Mult 1 Intersects
x=-1 Mult 1 Intersects