Expert II Polynomial Functions (12) In 30-2 and 30-1 Flashcards
(20 cards)
What is the degree of a polynomial?
Quel est le degré d’un polynôme ?
The exponent of the variable with the highest exponent of the polynomial. Usually represented with n in general form equations for any polynomial, where the next exponent is then expressed with n-1 etc.
L’exposant de la variable ayant l’exposant le plus élevé du polynôme.
What is the end behavior of a positive leading coefficient odd degree polynomial?
Quel est le comportement final d’un polynôme de degré impair à coefficients positifs ?
Quadrant 3 to quadrant 1
Du quadrant 3 au quadrant 1
What is the end behavior of a negative leading coefficient odd degree polynomial?
Quel est le comportement final d’un polynôme de degré impair à coefficient directeur négatif ?
Quadrant 2 to quadrant 4
2 = II
4 = IV
Du quadrant 2 au quadrant 4
2 = II
4 = IV
What is the end behavior of a positive leading coefficient even degree polynomial?
Quel est le comportement final d’un polynôme de degré pair à coefficient positif ?
Quadrant 2 to quadrant 1
Du quadrant 2 au quadrant 1
What is the end behavior of a negative leading coefficient even degree polynomial?
Quel est le comportement final d’un polynôme de degré pair à coefficient négatif ?
Quadrant 3 to quadrant 4
Quadrant 3 à quadrant 4
What is the y intercept?
Quelle est l’ordonnée à l’origine ?
- Where the curve intersects the y axis
- when x is 0
- the constant term of a polynomial
- Point d’intersection de la courbe avec l’axe des y
- lorsque x est égal à 0
- le terme constant d’un polynôme
What is the x intercept?
Quelle est l’ordonnée à l’origine ?
- where y = 0
- where the curve intersects the x axis
- zeroes of the function
- là où y = 0
- là où la courbe coupe l’axe des x
- les zéros de la fonction
How do you perform a regression on a table of values for a polynomial using the graphing calculator? (emphasized in math 30-2, if you are in math 30-1 this might never be tested but you will want to know this if you are taking statistics later)
Comment effectuer une régression sur une table de valeurs pour un polynôme à l’aide de la calculatrice graphique ?
- Clear RAM
2nd, +, 7
- Edit data
Stat, edit, enter L1 and L2 data
- Choose regression
Stat, calc, regression
- Store Y1
Go beside store and press VARS, Y-VARS, Function, Y1
What are the names of all the types of polynomial functions?
Quels sont les noms de tous les types de fonctions polynomiales ?
- Linear
- Quadratic
- Cubic
- Quartic
- Quintic
- Sextic
- Septic
- Octic
- Nonic
Memorize the first 5
- Linéaire
- Quadratique
- cubique
- Quartique
- Quintique
- Sextuple
- Septique
- Octique
- Nonique
Describe how to create a graph of any degree polynomial using the linear model.
Décrire comment créer un graphique d’un polynôme de n’importe quel degré en utilisant le modèle linéaire.
Cubics have two directions that the wheel of the car is turned while generally following the idea of the slope from the linear equivalent.
Quintics have four phases of the wheel being turned either right or left.
The degree is always one more than the wheel directions.
Les cubiques ont deux directions dans lesquelles la roue de la voiture est tournée, tout en suivant généralement l’idée de la pente de l’équivalent linéaire.
Les quintiques comportent quatre phases de rotation de la roue vers la droite ou vers la gauche.
Le degré est toujours supérieur d’une unité aux directions de la roue.
A polynomial with degree 9 has how many wheel directions?
Un polynôme de degré 9 a combien de directions de roue ?
8
Wheel directions are often referred to as turning points, though that term is not clear enough to grasp the meaning, so look for wheel directions and use that number for questions asking for turning points.
8
Les directions des roues sont souvent appelées points d’inflexion, bien que ce terme ne soit pas suffisamment clair pour en saisir le sens. Cherchez donc les directions des roues et utilisez ce chiffre pour les questions portant sur les points d’inflexion.
How do you make the points appear on the graph once you have them in the regression list?
Comment faire apparaître les points sur le graphique une fois qu’ils figurent dans la liste des régressions ?
2nd, y= (to access stat plot), enter, highlight on, enter, graph
Zoom, stat
The above will help the zoom display the points you have entered clearly
Make sure your equations in ‘y =’ are deleted so that you can see your points clearly
What does it mean to extrapolate?
Que signifie extrapoler ?
Guessing points outside of the boundaries of the given data
Deviner des points en dehors des limites des données fournies
What does it mean to interpolate?
Que signifie interpoler ?
Guessing points within the boundaries of the data
Points d’appréciation à l’intérieur des limites des données
How do you know that it is a polynomial function and not something else?
Cannot contain:
- roots of variables
- negative powers of a variable (same thing as dividing by a variable)
- fractional powers of a variable (same thing as roots of variables)
- coefficients which are non-real
What is the leading coefficient?
The coefficient of the highest power of x, which is an
What is the constant term?
The term independent of x, which is a0
Explain why the polynomial function P(x) = 7 has a degree of zero
What kind of function is this called?
7x⁰ = 7 so the leading degree is 0
This is a constant function because the output value remains constant
How do you classify polynomials by the number of terms?
- monomial (one term)
- binomial (two terms)
- trinomial (three terms)
How do you classify polynomials by type of coefficients?
- integral polynomial function = integers used for coefficients, not rational etc.
- rational polynomial functions = rational numbers can also be used along with integers for the coefficients
- real polynomial functions = any real number may be used for the coefficients
