Functions
For this relation to be a function, the blank must be filled with this number.
What is -12?
This is a type of relationship where every input has exactly one output.
What is a function?
This is the definition of the symbol i.
What is sqrt(-1)?
Any quadratic can be solved by applying this tool.
This term describes a complex number that has no real part, like -5i or 10.2i.
What is purely imaginary?
A graph isn't a function if it fails this test by having two or more points have the same x-value but different y-values.
What is the Vertical Line Test?
This word describes the set of all possible inputs for a function.
What is the domain?
This number is the sum of -5.5+3i and 7+22i.
What is 1.5+25i?
If 5+10i is a solution to a quadratic, then this number must also be a solution.
What is 5-10i? (the conjugate)
This word describes the set of all possible outputs of a function.
What is the range?
We can represent functions in these four ways.
What are: words, table, equation, and graph?
A polynomial where the highest exponent on the variable is 2 is called this.
What is a quadratic?
This number is the fully-simplified result of multiplying 4+4i and 7-9i.
What is 64-8i?
These two numbers are the solutions to the equation x^2+11x+30=0.
What are -5 and -6?
This number is the fully-simplified result of multiplying 2i and 5+14i.
What is -28+10i?
DAILY DOUBLE
Come up with an example of a function using words and an example of a non-function using a graph. No credit for using any concept we've mentioned in class so far (coffee, best ___ in a city, etc...).
The numbers 5+3i and 5-3i are a pair of these.
What are conjugates?
DAILY DOUBLE
Come up with complex numbers that fit each of the categories below.
Purely real
Purely imaginary
Neither purely real nor purely imaginary
These two numbers are the solutions to the equation x^2+2x+10=0.
What are -1+3i and -1-3i?
These two numbers are the solution to the equation 3x^2+4x+5=0.
What are [-2+i*sqrt(11)]/3 and [-2-i*sqrt(11)/3?
The relation F(x) is NOT a function because the input of 5 has these two outputs.
What are 23 and 15?
This quantity can be computed by using the real and imaginary parts of a complex number as sides on a triangle.
What is the modulus?
This number is the modulus of 5+11i.
What is sqrt(146)?
These two numbers are the solution to the equation 3x^2+x+7=0
What are [-1+i*sqrt(83)]/6 and [-1-i*sqrt(83)]/6?
This word describes how we're going to do on our test.