Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Concept explainers

Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
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8-8 A and b and c
IM 3 - Lesson 8.1.1 ▪ How Can I Describe The Graph? Sketching Graphs of Polynomial Functions 8-8. For each polynomial function below, make a table that includes integer x-values from -2 to 2 and sketch each graph. a. y = (x-1)° (x +1) b. y= (x-1)° (x +1)° y X y -2 -2 -1 -1 1 1 2 d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? c. y = x - 4x y -2 a = -1 b = 1 C = 8-9. Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, explain why not. Review the Math Notes box in this lesson for information about polynomials. a. f(x) = 8x° +x² + 6.5x* +6 b. y =x° +19x? Polynomial Function? yes or no Polynomial Function? yes or no Why or why not? Why or why not? C. d. 12 Polynomial Function? Polynomial Function? 12+ yes or no yes or no Why or why not? Why or why not? -4 4
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Transcribed Image Text:IM 3 - Lesson 8.1.1 ▪ How Can I Describe The Graph? Sketching Graphs of Polynomial Functions 8-8. For each polynomial function below, make a table that includes integer x-values from -2 to 2 and sketch each graph. a. y = (x-1)° (x +1) b. y= (x-1)° (x +1)° y X y -2 -2 -1 -1 1 1 2 d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? c. y = x - 4x y -2 a = -1 b = 1 C = 8-9. Which of the following equations and graphs represent polynomial functions? For those that are not polynomials, explain why not. Review the Math Notes box in this lesson for information about polynomials. a. f(x) = 8x° +x² + 6.5x* +6 b. y =x° +19x? Polynomial Function? yes or no Polynomial Function? yes or no Why or why not? Why or why not? C. d. 12 Polynomial Function? Polynomial Function? 12+ yes or no yes or no Why or why not? Why or why not? -4 4
1. IM 3 - Lesson 8.1.1 - How Can I Describe The Graph? Sketching Graphs of Polynomial Functions 8-8. For each polynomial function below, make a table that includes integer x-values from -2 to 2 and sketch each graph. a. y = (x- 1)° (x+1) b. y = (x- 1)° (x +1)° х у -2 -2 -1 -1 1 1 2 d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? c. y = x° - 4x X y -2 a = -1 b = C = 8-9. "hich of the following
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Transcribed Image Text:1. IM 3 - Lesson 8.1.1 - How Can I Describe The Graph? Sketching Graphs of Polynomial Functions 8-8. For each polynomial function below, make a table that includes integer x-values from -2 to 2 and sketch each graph. a. y = (x- 1)° (x+1) b. y = (x- 1)° (x +1)° х у -2 -2 -1 -1 1 1 2 d. Recall that the degree of a polynomial is the highest power of the variable when the polynomial is written in standard form. What is the degree of each polynomial in parts (a) through (c)? c. y = x° - 4x X y -2 a = -1 b = C = 8-9. "hich of the following
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