Radical Equations
Radical Graphs
Polynomial Functions
Dividing Polynomials
Misc.
100
Solve:
root(3)(4x+8)+3=7
x=14
100
What is the domain and range of:
f(x)=5x^2
Domain & Range:
[0, infty)
100
Determine the domain & range
Domain: all real numbers
Range:
[0,infty)
100
Is x-3 a factor of
6x^3-25x^2+18x+9
Yes
100
When does a 'bounce' occur on a graph
an x-intercepts repeats an even amount of times
200
Solve:
sqrt(8x+17) -18=-9
x=8
200
Find the y-intercept of
f(x)=1/4root(5)(6x-8)
(0, -.38)
200
Determine the y-intercepts of
f(x)=-x^2+4x+32
(0,32)
200
Is x-1 a factor of
6x^4+x^2-7
Yes
200
Even or odd degree? Positive or negative leading coefficient?
Odd, negavite
300
Solve:
sqrt(7-2x)=x-2
x=3
300
What is the end behavior of
2 root(4)(5x^3)
lim_(x->infty)f(x)=infty
300
Determine the x-intercepts and state multiplicities:
y=2x(x+5)^2(x-3)
(0,0)
(3,0)
(-5,0)-multiplicity of 2
300
Divide:
9x^3-x-3
by
3x+2
3x^2-2x+1-5/(3x+2)
300
What are the increasing & decreasing intervals of
f(x)=-root(3)(27-2x
Increasing:
(-infty,infty)
Decreasing: n/a
400
Solve:
sqrtx-1=sqrt(x-10)
x=121/4 or 30.25
400
Find the increasing and decreasing intervals of:
f(x)=-root(3)((25x-5)^2)+2
Increasing:
(-infty,0.2)
Decreasing:
(0.2,infty)
400
What are the extrema of this function:
y=x(x+1)^2(x-2)
Relative max:(-0.4,0.3)
Relative min:(-1,0)
Relative/Absolute min:(1.4,-4.8)
400
Given that x-6 is a factor, determine the x-intercetps of:
4x^3-34x^2+54x+36
(6,0)
(3,0)
(-1/2,0)
400
Solve:
sqrt(6x-11)+4=sqrt(12x+1)
x=2 and x=10