Functions
This is the domain of f(x)= sqrt(x−4)
What is x≥4?
sin(90∘) equals this.
What is 1?
The solutions to x^2−9=0
What are x=3,−3?
A quantity with both magnitude and direction.
What is a vector?
A rectangular arrangement of numbers.
What is a matrix?
A function that passes the vertical line test is called this.
What is a function?
sin2(x)+cos2(x)=?
What is 1?
Factor x^2-16
What is (x−4)(x+4)?
The Vector (3,4) has this magnitude
What is 5?
A matrix with the same number of rows and columns
What is a square matrix?
The inverse of f(x)=3x+5.
What is f^-1(x)=(x-5)/3
The period of y=sin(x).
What is 2pi?
The quadratic formula solves equations of this type.
What are quadratic equations?
The operation that adds vectors together
What is vector addition?
The operation used to combine matching entries of two matrices.
What is matrix addition?
The transformation from y=x^2 to y=(x-3)^2 +4
What is right 3 and up 4?
Solve: cos(x)=0, 0≤x≤2pi
What are (pi/2),(3pi/2)
b^2−4ac tells you this about a quadratic.
What is the discriminant?
Find the dot product:(2,3)⋅(4,-1)
What is 5?
Because 2(4) +3(-1)=8-3=5
A matrix must have this property to have an inverse.
What is a nonzero determinant?
If f(g(x))=x, then f and g are these
What are inverse functions?
Solve for X 2sin(x)−1=0 for 0≤x≤2pi
What are x=pi/6, 5pi/6
Find the roots: x^3-4x^2-x+4=0
What are x=1,4,−1?
Two vectors have magnitudes 6 and 10, and the angle between them is 60∘. Find their dot product.
What is 30?
Because a⋅ b=|a||b|cos(0)=6(10)cos60∘ =60(0.5)=30
The determinant of
a b
c d
What is ad−bc?