Graph Key Features
Transformations
Complex Numbers
Other
Interesting Factoids
100
Determine all of the extrema of the following function.
What is
Relative Minima: {-1, 0.6}
Relative Maxima: {0.9}
Absolute Minimum: {-1}
Absolute Maximum: None
100
Describe the transformation.x^3 \to (1/3x)^3.
What is a Horizontal Dilation by 1/3?
100
State what i represents.
What is sqrt(-1)?
100
Describe why a Relation is different than a function.
What is, A relation is any set of ordered pairs while a function must have any input corresponding with only one output?
100
These regions in spacetime have such strong gravitational fields that light is not fast enough to pass through it.
What are Black Holes?
Bonus Factoid: Mathematical principles describe the way and the rate of each planet that orbit our sun. These principles are called Kepler's Laws of Planetary Motion.
200
Determine the symmetry of the following diagram. {Even, Odd, or Neither}
What is Neither?
200
Describe how the transformations moved the parent function. y=|x-3|+4
What is, it shifted right 3 units and up 4 units.
200
Solve -x^2+4x-5=0.
What is, 2+-i ?
(-(4)+-sqrt((4)^2-4(-1)(-5)))/(2(-1))
(-4+-sqrt(-4))/-2
(-4+-2i)/-2
(-2(2+-i))/-2
2+-i
200
Determine if the following is a function.
{(15,0),(20,10),(25,20),(30,30),(25,40),(40,50)}
What is, No.
200
This mammal must be really stressed out. It has the highest blood pressure of any animal alive.
What is a Giraffe?
Bonus Factoid: Tardigrades, microscopic creatures, are able to live in the most extreme conditions on Earth... they can also survive in space.
300
What is the range of the following graph?
What is
{y|y>=-9}?
300
Determine what transformation occurred from the first to second function.
y=|x-4|+4 to y=|x+1|-8
What is, Left 5 Units and Down 12 Units?
300
Simplify
(3+4i)/(8-2i)
What is, 4/17+(19i)/34 ?
(3+4i)/(8-2i)*(8+2i)/(8+2i)
(24+6i+32i+8i^2)/(64+16i-16i-4i^2
(24+38i+8(-1))/(64-4(-1))
(16+38i)/68
16/68+(38i)/68
4/17+(19i)/34
300
Determine if the following is a function.
{(5,1),(7,1),(-9,1),(1,1),(0,8)}
What is, Yes?
300
In ancient times, this location was the biggest hub for scholars in the world and it held the largest collection of knowledge at the time.
What is the Library of Alexandria?
Bonus Factoid: Caesar accidentally set the library on fire while attempting to repel an Egyptian army by setting their fleet of ships, which were docked at the harbor, ablaze. The library and most of the books stored inside were destroyed.
400
Daily Double
Determine where f(x)>0.
What is
(-oo,-8)U(-2,1)U(2.5,3.5)U(5.8,10)?
400
Describe the transformation.
f(x)->f(-x)/9
What is a Vertical Contraction by 1/9. and a reflection over the y-axis.
400
Simplify i^853.
What is, i?
i^853->i^852*i->(i^2)^426i
(-1)^426i->1i->i
400
Convert the following to words.
{y|yinℕ}
What is, "The set of y-values where y is a Natural number."
400
The Amazon River is the largest river in the world because of the amount of water passing through it even though it is not the longest. The title of longest river belongs to this one.
What is the Nile River?
Bonus Factoid: There is an area in the Northern Pacific Ocean where plastic waste accumulates due to the ocean's currents. This place is called The Pacific Trash Vortex.
500
The following graph shows Grandma taking a walk. Determine the meaning of graph between 8 to 10 minutes.
What is, Grandma was taking a break and not moving.
500
Write an equation based on the transformations.
y=x^4: "Reflects, moves left 3/7,"
"stretches by 9, and down 12."
What is, y=-9(x+3/7)^4-12 ?
500
Simplify,
(7+3i)^2.
What is, 40+42i?
(7+3i)^2->49+42i+9i^2
49+42i+9(-1)
40+42i
500
Write the following in set notation.
Domain [2,oo).
What is
{x|x>=2}?
500
This country is the second largest coffee producing country in the entire world. Its famous coffee bean is the robusta.
What is Vietnam?
Bonus Factoid: Vietnam is the 15th most populated country in the world with over 96 million people.