Unit 2
Unit 3
Unit 4
Unit 5
Misc
Final Jeopardy
100
Is this a function? Why or why not.
No; element 7 repeats in the domain of the relation.
100
What is the Axis of Symmetry and the Vertex of
f(x)=3(x-2)^2-5
AoS: x=2
Vertex: (2,-5)
100
Simplify
(-9+5i)/(3-i)
(-16+3i)/5
100
Simplify: (3z-4)^3
27z^3-108z^2+144z-64
100
What set of numbers does not contain the value (iroot2(8))^2 ?
Natural, Whole, Irrational, Pure Imaginary
100
Solve the polynomial:
10x^5=80x^2
x in {{0,0,2,-1-iroot2(3), -1+iroot2(3)}}
200
What is the domain and the range of the following function:
Domain: {x|x <= 0}
Range: {y|y >= 1}
200
The graph of the absolute value parent function is shifted two units left, reflected about the y-axis, vertically stretched by a factor of three, and finally shifted two units down.
f(x)=3|-x+2|-2
200
Find the discriminant as well as the number and types of roots of the quadratic:
x^2-4x-20=0
Discriminant:
d=96
#/Types of Roots:2 irrational real roots
200
Daily Double!
Describe the end behavior of the following polynomial:
f(x)=-x^4+bx^3+c
x->oo, f(x)->-oo
x->-oo,f(x)->-oo
200
Which of the following polynomials contains the factor of (3x+4) ?
A. 16x+12
B. 16x^2-9
C. 27x^3+64
D. 2x^2+x-3
C.
27x^3+64 = (3x+4)(9x^2-12x+16)
300
Given the function below, find
p(x-1)
p(x)=x^2-7x
p(x-1)=x^2-9x+8
300
List all function families (that we have seen so far) that have a range of all real numbers.
Linear, Cubic, Quintic
300
Solve the quadratic:
2x^2+11=131
x in {2root2(15),-2root2(15)}
300
Identify the zeros, their multiplicity, and the effect of the multiplicity on the graph of the function:
f(x)=3x^2(x-4)^6(3x+2)^3
Zero | Multiplicity | Effect
0 | 2 | Bounces
4 | 6 | Bounces
-2/3 | 3 | Crosses
300
Find the polynomial that has the solution set of {-2/3,5} .
f(x)=3x^2-13x-10
400
Solve the following system of equations using any method:
6x-y=-23
2x+5y=-13
(-4,-1)
400
Describe the left-hand end behavior of the following function:
f(x)=(x-6)^2+2
x->-oo, f(x)->oo
400
Solve the quadratic:
3x^2+15x+19=0
x in {(-15+iroot2(3))/6,(-15-iroot2(3))/6 }
400
Solve the polynomial:
x^4+10x^2=3x^2+18
x in {-root2(2),root2(2), -3i, 3i}
400
A quadratic function has a zero at x=3i , what must be a factor of the quadratic function?
(x^2+9)
500
Solve the following system:
3x-5y+2z=-53
x-7y-4z=-37
5x+9y+2z=57
(-1,8,-5)
500
Describe the end behavior and increasing/decreasing intervals of the following function without the use of a graphing calculator:
f(x)=-|x-5|+2
End Behavior:
x->oo, f(x)->-oo
x->-oo, f(x)->-oo
Increasing:
(-oo,5)
Decreasing:
(5,oo)
500
A juggler tosses a ball into the air. The ball's height, h, in feet and time, t, in seconds can be represented by the equation h(t)=-16t^2+40t+4 . Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took to reach the ground. Round all answers to the nearest hundredth.
Time to Reach the Ground:
~2.59
seconds
Maximum Height:
~29.00
feet
500
Using the following functions, determine the value of the composition:
f(x) = x^2-3x-10
g(x) = 3x-4
(fcircg)(x)
(fcircg)(x)=9x^2-33x+18
500
The graph of a quadratic function increases through the interval (3,oo) then decreases through the interval (-oo,3) . If the vertex of the graph is located at (3,-7) , what must be the equation of this function?
f(x)=(x-3)^2-7