Catchy Nonsense
What is the Fundamental Theorem of Algebra about?
That an equation has the same number of solutions, including multiplicity, as its degree.
What does it mean to the graph of a function if it has a zero of even "mulitplicity?"
At that x intercept, the curve only touches, and does not cross, the x axis.
How do we solve a system of equations graphically?
Graph each equation and find the intersection points.
What must be true about a divisor in order to use "synthetic division?"
What does it mean for a function to be "odd?"
Symmetric about the origin.
What does it mean for a function to be invertible?
Its inverse is also a function.
What does it mean to "compose" functions?
To use one function as the input of another.
What is
i
?
sqrt(-1)
What is the factored form of a quadratic equation?
a(x-r1)(x-r2)
What is the domain of a function? What is the range of a function? What types of situations cause restrictions on the domain?
Values that x can be, values that y can be, negative under a square root, 0 in the denominator.
What is a "relative maximum?" What is the difference between a "relative maximum" and an "absolute maximum?"
A place on a curve where the function value is higher than those near it. An absolute maximum is the highest point on the curve.
What are the end behaviors of a function?
A description of its function values when x gets really big and really small?
What is the zero product property?
If
ab = 0, a = 0 or b = 0
This represents which kind of function?
f(-x)=-f(x)
An odd function
Explain what x and y represent when considering the following expression.
4^(x/y)
x represents the power 4 is raised to, while y represents which root is being taken.
Which Disney film included the songs "Chim Chim Cheree?"
Marry Poppins
Atticus Finch is the name of the narrator's father in what 1960 novel?
To Kill a Mockingbird
What is neophobia?
Fear of new things.
What is the technical name of the # sign?
Octothorpe
What nuts are used to make marzipan?
Almonds