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3. a. Determine if the table represents a linear, quadratic, or exponential table and how you know this. b. Then, IF QUADRATIC ONLY, calculate the explicit equation. Type of function: (Linear, quadratic, or exponential) i i. iii g(x) -10 -6 f(n) -3 1 1 -9 | 12 -15 -21 48 192 768 3 8 4 -27 4. 18 How you know this How you know this How you know this Quadratic Equation: E234

3. a. Determine if the table represents a linear, quadratic, or exponential table and how you know this. b. Then, IF QUADRATIC ONLY, calculate the explicit equation. Type of function: (Linear, quadratic, or exponential) i i. iii g(x) -10 -6 f(n) -3 1 1 -9 | 12 -15 -21 48 192 768 3 8 4 -27 4. 18 How you know this How you know this How you know this Quadratic Equation: E234

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Problem 3 #### Part A a. Determine if the table represents a linear, quadratic, or exponential function and provide an explanation for your determination. b. Then, if the function is quadratic, calculate the explicit equation. #### Tables of Functions **Type of function:** (Linear, quadratic, or exponential) **Table i** | \( x \) | \( y \) | |-------|-------| | 0 | -3 | | 1 | -9 | | 2 | -15 | | 3 | -21 | | 4 | -27 | **How you know this** ________________________________ **Table ii** | \( n \) | \( f(n) \) | |-------|-----------| | 1 | 3 | | 2 | 12 | | 3 | 48 | | 4 | 192 | | 5 | 768 | **How you know this** ________________________________ **Table iii** | \( x \) | \( g(x) \) | |-------|--------| | 0 | -10 | | 1 | -6 | | 2 | 0 | | 3 | 8 | | 4 | 18 | **How you know this** ________________________________ **Quadratic Equation:** __________________________________ ### Detailed Explanation of any Graph/Diagram **Table i Explanation:** The table under column "i" lists values of \( x \) from 0 to 4 and corresponding values of \( y \). You need to analyze these values to determine whether they create a linear, quadratic, or exponential pattern. **Table ii Explanation:** The table under column "ii" lists values of \( n \) from 1 to 5 and corresponding values of \( f(n) \). To determine the type of function, observe the changes in \( f(n) \). **Table iii Explanation:** The table under column "iii" lists values of \( x \) from 0 to 4 and corresponding values of \( g(x) \). Again, evaluate the changes in \( g(x) \) to determine the type of function. For each table, you need to explain how you reached your conclusion regarding the type of function it represents and, if quadratic, derive the quadratic
Transcribed Image Text:### Problem 3 #### Part A a. Determine if the table represents a linear, quadratic, or exponential function and provide an explanation for your determination. b. Then, if the function is quadratic, calculate the explicit equation. #### Tables of Functions **Type of function:** (Linear, quadratic, or exponential) **Table i** | \( x \) | \( y \) | |-------|-------| | 0 | -3 | | 1 | -9 | | 2 | -15 | | 3 | -21 | | 4 | -27 | **How you know this** ________________________________ **Table ii** | \( n \) | \( f(n) \) | |-------|-----------| | 1 | 3 | | 2 | 12 | | 3 | 48 | | 4 | 192 | | 5 | 768 | **How you know this** ________________________________ **Table iii** | \( x \) | \( g(x) \) | |-------|--------| | 0 | -10 | | 1 | -6 | | 2 | 0 | | 3 | 8 | | 4 | 18 | **How you know this** ________________________________ **Quadratic Equation:** __________________________________ ### Detailed Explanation of any Graph/Diagram **Table i Explanation:** The table under column "i" lists values of \( x \) from 0 to 4 and corresponding values of \( y \). You need to analyze these values to determine whether they create a linear, quadratic, or exponential pattern. **Table ii Explanation:** The table under column "ii" lists values of \( n \) from 1 to 5 and corresponding values of \( f(n) \). To determine the type of function, observe the changes in \( f(n) \). **Table iii Explanation:** The table under column "iii" lists values of \( x \) from 0 to 4 and corresponding values of \( g(x) \). Again, evaluate the changes in \( g(x) \) to determine the type of function. For each table, you need to explain how you reached your conclusion regarding the type of function it represents and, if quadratic, derive the quadratic
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