SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Polynomial Function Graphing Guide

ralphross avatar
ralphross
9 diapositives · 130 Views · Jan 04, 2020

Learn how to graph polynomial functions step by step. Understand end behavior, make tables of values, and connect points to create smooth curves. Examples and solutions provided for better understanding.

Polynomial Function Graphing Guide - slide 1
01 / 9Polynomial Function Graphing Guide
1 / 17

Télécharger la présentation

Polynomial Function Graphing Guide
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. To graph the function, make a table of values and plot the corresponding points. Connect the points with a smooth curve and check the end behavior. a. EXAMPLE 5 Graph polynomial functions Graph (a)f (x) = – x3 + x2 + 3x – 3 and (b)f (x) = 5 x4 – x3 – 4x2 + 4. SOLUTION The degree is odd and leading coefficient is negative. So, f (x) → + ∞ asx → –∞ andf (x) → –∞ asx → + ∞.

  2. b. To graph the function, make a table of values and plot the corresponding points. Connect the points with a smooth curve and check the end behavior. EXAMPLE 5 Graph polynomial functions The degree is even and leading coefficient is positive. So, f (x) → ∞asx → –∞and f (x) → ∞asx → + ∞.

  3. Physical Science The energy E (in foot-pounds) in each square foot of a wave is given by the model E = 0.0029s4 where sis the wind speed (in knots). Graph the model. Use the graph to estimate the wind speed needed to generate a wave with 1000 foot-pounds of energy per square foot. EXAMPLE 6 Solve a multi-step problem

  4. Make a table of values. The model only deals with positive values of s. EXAMPLE 6 Solve a multi-step problem SOLUTION STEP 1

  5. STEP 2 Plot the points and connect them with a smooth curve. Because the leading coefficient is positive and the degree is even, the graph rises to the right. STEP 3  Examine the graph to see that s 24 when E = 1000. The wind speed needed to generate the wave is about 24 knots. ANSWER EXAMPLE 6 Solve a multi-step problem

  6. Graph the polynomial function. 9. f (x) = x4 + 6x2– 3 x – 2 –1 0 1 2 y 374 –3 4 37 for Examples 5 and 6 GUIDED PRACTICE SOLUTION To graph the function, make a table of values and plot the corresponding points. Connect the points with a smooth curve and check the end behavior.

  7. x – 3 –2 –1 0 1 2 y 409 0 –1.7 –3 2 for Examples 5 and 6 GUIDED PRACTICE 10.f (x) = 2x3 + x2 + x – 1 SOLUTION To graph the function, make a table of values and plot the corresponding points. Connect the points with a smooth curve and check the end behavior.

  8. To graph the function, make a table of values and plot the corresponding points. Connect the points with a smooth curve and check the end behavior. a. x – 2 –1 0 1 2 y 206 4 –12 2 for Examples 5 and 6 GUIDED PRACTICE 11. f (x) = 4 – 2x3 SOLUTION

  9. 12. WHAT IF? If wind speed is measured in miles per hour, the model in Example 6 becomes E = 0.0051s4. Graph this model. What wind speed is needed to generate a wave with 2000 foot-pounds of energy per square foot? ANSWER about 25 mi/h. for Examples 5 and 6 GUIDED PRACTICE