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Quadratic Functions & their graphs
Polynomial Functions & their graphs
Rational Functions & their graphs
Zeroes & Division of Polynomial Functions
Random!
100

If the vertex of a parabola is (0, 0) and a it opens down, what is the maximum value of the function?

0

or y=0

100

If a polynomial has an even degree and a negative leading coefficient, describe the end behavior.

Falls left and right
100

Which part of a rational function do you look at to find the Vertical Asymptote(s)?

Bottom

or Denominator

100
List all possible rational roots for y=2x2-5x+3

+/- 1, +/- 3, +/- 1/2, +/- 3/2

100

True or False: i2=1

False

200

Does y=-2x2+8 open up or down? Does it have a max or a min?

Down, max

200

If a zero has a multiplicity of 4, does the graph cross or bounce at the x-axis?

Bounce

200

If the degree of the numerator is smaller than the degree of the denominator, what is the Horizontal Asymptote?

y=0 

or 

x-axis

200

Use the remainder theorem to find the remainder of (x2-5) / (x-1)

R(x)= -4 / (x-1)
200

Solve x2+16=0

+/- 4i

300

If a parabola has a vertex at (2, -5) and it opens up, how many x intercepts must it have?

2
300

If the graph of a polynomial crosses the x-axis at x=-1, is the multiplicity of that zero even or odd?

Odd

300

If the degree of the numerator is equal to the degree of the denominator, how do you find the Horizontal Asymptote?

Divide the leading coefficient of the numerator by the denominator

300

If a polynomial has a degree of 3, what is the maximum number of real zeroes it can have?

3

300

Solve in interval notation:

(x-2)(x+4)>0

(-infinity, -4) u (2, infinity)

400

Find the vertex of y=x2-6x+5 by using formula x=-b/2a

(3, -4)

400

What is the maximum number of "turns" (turning points) a polynomial with a degree of 6 can have?

5

400

Find the 'neighbor' points you would plot for 

y=(4)/(x-3)

x=2, x=4

400

If you are looking at a graph and it bounces off the x-axis at x=4, what do you know about the multiplicity of that zero?

It must be an even multiplicity (like 2, 4, 6)

400

FOIL: (3+2i)(3-2i)

13
500

True or false: every quadratic function has exactly one y-intercept

True

500

Identify the zeroes and their multiplicity for y=x2(x-4)3

x=0 (mult. 2), x=4 (mult. 3)

500

Why is the value of a Vertical Asymptote excluded from the domain of the function?

Because it makes the denominator 0 (ERROR)

500

Find the zeroes for this polynomial function and give the multiplicity for each zero

x4-3x3-18x2

zeroes: 0 (mult. 2), -3 (mult. 1), 6 (mult. 1)

500

Use the Quadratic Formula to find the zeroes of x2-4x+5

*Can use your notes for this one! quadratic equation formula

2 +/- i