Functions
Polynomial Key Features & Division
Roots of Polynomials
Rational Functions
Polynomial & Rational Inequalities
100

Parent function of rational equation

What is y= 1/x?

100

Name one thing polynomials cannot have

What is "negative exponents, fractional exponents, or infinite number of terms"?

100

Other words for x-intercepts

What is zeros, roots, or solutions?

100

What are asymptotes?

What is lines that the graph gets very close to but does not touch nor cross?

100

What notation do you write your answer in with an inequality?

What is interval or inequality notation?

200

Shape that quadratic parent function creates

What is "U"?

200

Determine the degree: 

x(3x+1)(x-2)2

What is 4?

200

What does SOAP stand for?

What is Same, Opposite, Always, Positive?

200

First step of solving a rational equation

What is finding the least common denominator?
200

What indicates an open circle?

What is "<, or >"?

300

How do we determine when there is a horizontal shift?

What is "when it is inside of the parentheses"?

300

What occurs on the x-axis with a even multiplicity?

What is it touches and bounces off the x-axis?

300

Factor by grouping:

12a3-9a2+4a-3

What is (4a-3)(3a2+1)?

300

Solve for x:

x+6/x=-5

What is x= -3, -2?

300

Solve:

x2-3x≤4

What is [-1,4]?

400

Domain and range restrictions on parent function of square root equation

What is "[0,infinity)"?

400

What must the sum of all multiplicities equal?

What is the degree of the function?

400

Solve using the zero product property:

6=-3x2-11x

What is x=-3, -2/3?

400

How we determine when a hole occurs?

What is when a factor cancels out in the numerator and denominator?

400

Solve:

-3x2-5x-2≤0

What is (-∞,-1] U [-2/3, ∞)?

500

Determine the transformations: 

3√-x-2  -1



What is vertical stretch of 3, flip of y-axis, shift left 2, and down 1?

500

When does synthetic division work?

What is when dividing (x-c)?

500

What is the Fundamental Theorem of Algebra?

What is "the degree of the polynomial is equal to the number of roots of the polynomial"?

500

If the degree of the denominator is greater than the degree of the numerator, what occurs?

What is asymptote at y=0?

500

Solve:

4m3+7m2<2m

What is (- ∞,-2) U (0,1/4)?