Complex Numbers
What is i equal to?
The square root of -1
Determine the end behavior of the graph of the function
f(x) = -24x3 + x - 7
rise, fall
What are the two methods for dividing polynomials?
Long and synthetic division
Where do vertical asymptotes occur in rational functions?
At the x values that are not in the domain of the function.
Which fast food chain is known for its golden arches?
McDonald's
Find the product. Report the answer in standard form.
3i(10 - 4i)
12+30i
What kind of symmetry, if any, would the graph of the function below have?
f(x) = x4 - 6x3 + 1
No symmetry
Under what circumstances are we allowed to use synthetic division to divide two polynomials?
When the divisor is a first degree binomial
What does arrow notation allow us to do?
Describe the behavior of the graph of a function.
Who was the first winner of American Idol?
Kelly Clarkson
When dividing (3-4i)/(5+2i), we multiply both the numerator and denominator by (5-2i). What is the technical term for (5-2i)?
Complex Conjugate
Under what circumstances would an exponent cause a function to NOT be a polynomial function?
If the exponent is negative or rational.
Fill in the missing x terms with zeros!
How do we know when the graph of a rational function will have a hole?
When a common factored can be canceled in the original function.
What are the five great lakes?
Huron, Ontario, Michigan, Erie, Superior
What would the discriminant be for a quadratic function that only has imaginary solutions?
Negative
At which zeros would the graph of the function below cross the x-axis?
f(x)= x3(x+2)2(x-1)
0 and 1
f(x) = 5x2 - 12x - 8
Use synthetic division and the remainder theorem! f(-3) = 73
What information do we learn about a function from its horizontal asymptotes?
It's end behavior!
What year did North Catholic move from Troy Hill to Cranberry Twp?
2014
What is i7 equal to?
-i
Does the function f(x) = 2x3 - 4x have a real zero between 2 and 3? Justify your answer.
According to the factor theorem, what can be concluded from knowing x + 1 is a factor of f(x)?
f(-1) = 0 which means -1 is a zero of the function.
Under what conditions would the graph of a rational function have a slant asymptote?
When the degree of the numerator is exactly 1 degree higher than the degree of the denominator.
What is the only sport to have been played on the moon?
Golf