How do you call the graph of a quadratic function?
Parabola
100
Which is the imaginary unit (for imaginary numbers, of course)?
i=√-1
100
How many roots and curves does the following function have? f(x)=9x² - 5x + x⁴+29.
4 roots, 3 curves.
100
Find the domain of the following set of numbers: {(2,3), (4,6), (6,9), (8,12)}.
(2,4,6,8)
100
What was the favorite food of the Teenage Mutant Ninja Turtles?
Pizza.
200
Explain each element of the slope-intercept form of a linear function.
The "m" is the slope, the "b" is the intersection with the Y axis, "x" is the independent variable and "y" the dependent one.
200
On the board, draw a sketch of the following function: f(x)=-x²+12.
A downwards opening parabola with an intersection in Y=12.
200
Tell if the following equality is True or False: 3x+12=4x-15. If it's true, tell the value of X.
True. The value of x=27.
200
True or false: If I go to the store to buy 5 notebooks, the money I pay for each and then in total is behaving in a quadratic fashion.
False, it's linear.
200
What Lewis Carroll book was banned in China after censors decided: "Animals should not use human language"?
Alice's Adventures in Wonderland.
300
These functions are formed by other different functions in several parts of their domain, and this makes the full domain to depend on each of these functions.
Piecewise sectioned function
300
On the board, draw the sketch of a function and another of a relation.
Using the vertical line test, if it touches one point then it is a function; if it touches two points, it is a relation.
300
Solve the following equation: 5^(3-2x)=5^(-x).
x=3
300
Give an example of a complex number, a real number and a pure imaginary number.
A complex number has the form "a+bi", the real number is only the "a" part and the pure imaginary number is only the "bi" part.
300
How was Argentinean revolutionary Ernesto Guevara de la Serna better known?
Che Guevara.
400
What happens to the exponents of terms with the same base when they are: 1) Equalized 2)Multiplied 3)Divided?
1)The exponents are equalized as well.
2) and 3) The same as the basic exponent laws.
400
Calculate the determinant of the following matrix:
|3 0 2|
|6 5 1|
|8 9 7|
Δ=106
400
Solve the following system of equations:
|5x+2y=2
|x-8y=-8
(0,1)
400
What type of function is this? f(x)= 5x + √6x - x/3
Polynomial, believe it or not.
400
Who wrote the novel Dracula?
Bram Stoker.
500
These functions are made by dividing two polynomials. Also, tell its main feature, or how to tell it apart from a normal division/fraction.
Rational function, and you distinguish it because it has variables in the denominator.
500
Carry out the following complex numbers operation: (-7+√-12)-(3-√-27).
-10 + 5i√3
500
Solve the following system of equations:
|-3x+6y+z=-2
|x+y-z=0
|x-5y+9z=10
(1,0,1)
500
Find the system of equations and solve: A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?
There are 5 multiple choice questions. The equations are x+y=20 and 3x+11y=100.
500
Remember "The Addams family" movies? Well, in the second movie, who ultimately saves the Addams from Debbie's electrocution?