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Write a possible equation for a polynomial whose graph has the following horizontal Intercepts. Check your equation using graphing technology. 1. (4,0) 2. (0,0) and (4,0) 3. (-2, 0), (0, 0) and (4,0)

Write a possible equation for a polynomial whose graph has the following horizontal Intercepts. Check your equation using graphing technology. 1. (4,0) 2. (0,0) and (4,0) 3. (-2, 0), (0, 0) and (4,0)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 30E
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Lesson 7: Using Factors and Zeros • Let's write some polynomials. 7.1: More Than Factors M and K are both polynomial functions of x where M(x) = (x + 3)(2x – 5) and K(x) = 3(x+3)(2x – 5). 1. How are the two functions alike? How are they different? 2. If a graphing window of -5 <xr < 5 and -20 <y < 20 shows all intercepts of a graph of y = M(x), what graphing window would show all intercepts of y = K(x)? in 7.2: Choosing Windows Mai graphs the function p given by p(x) = (x + 1)(x - 2)(x + 15) and sees this graph. She says, "This graph looks like a parabola, so it must be a quadratic." y/ 35 30 25 20 15 10 5 -10 -8 -6 -4 -2 5. 4 6 8 -10 -15 -20 -25 -30 -35 -40 124 Student Workbook
Transcribed Image Text:Lesson 7: Using Factors and Zeros • Let's write some polynomials. 7.1: More Than Factors M and K are both polynomial functions of x where M(x) = (x + 3)(2x – 5) and K(x) = 3(x+3)(2x – 5). 1. How are the two functions alike? How are they different? 2. If a graphing window of -5 <xr < 5 and -20 <y < 20 shows all intercepts of a graph of y = M(x), what graphing window would show all intercepts of y = K(x)? in 7.2: Choosing Windows Mai graphs the function p given by p(x) = (x + 1)(x - 2)(x + 15) and sees this graph. She says, "This graph looks like a parabola, so it must be a quadratic." y/ 35 30 25 20 15 10 5 -10 -8 -6 -4 -2 5. 4 6 8 -10 -15 -20 -25 -30 -35 -40 124 Student Workbook
f(x) = (x+ 1)(x – 1)(x – 2)(x – 28)? 1. Is Mai correct? Use graphing technology to check. Select some different windows for graphing the function p(x) that would show the main features of a graph. gl3) = 23(x – 53)(x – 18)(x+ 111). What is challenging about graphing this function? 3. Using your explanation, what viewing window would you choose for graphing 2. Explain how you could select a viewing window before graphing an expression like Are you ready for more? 7.3: What's the Equation? Write a possible equation for a polynomial whose graph has the following horizontal intercepts. Check your equation using graphing technology. 1. (4, 0) 2. (0, 0) and (4,0) 3. (-2, 0), (0, 0) and (4,0) 4. (-4, 0), (0, 0), and (2, 0) 5.(5,0), (→,0), and (3,0) 125
Transcribed Image Text:f(x) = (x+ 1)(x – 1)(x – 2)(x – 28)? 1. Is Mai correct? Use graphing technology to check. Select some different windows for graphing the function p(x) that would show the main features of a graph. gl3) = 23(x – 53)(x – 18)(x+ 111). What is challenging about graphing this function? 3. Using your explanation, what viewing window would you choose for graphing 2. Explain how you could select a viewing window before graphing an expression like Are you ready for more? 7.3: What's the Equation? Write a possible equation for a polynomial whose graph has the following horizontal intercepts. Check your equation using graphing technology. 1. (4, 0) 2. (0, 0) and (4,0) 3. (-2, 0), (0, 0) and (4,0) 4. (-4, 0), (0, 0), and (2, 0) 5.(5,0), (→,0), and (3,0) 125
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ISBN:
9781133382119
Author:
Swokowski
Publisher:
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