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Y = -3° +10 the graph can be obtained from =3x,

Y = -3° +10 the graph can be obtained from =3x,

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I solved the first parts of this but can not figure out how to get the approximation on the calculator.
**Transformation of the Exponential Function** The function \( y = -3^x + 10 \) can be obtained from the graph of \( y = 3^x \). **Transformations:** - **Reflection:** It reflects the graph across the x-axis. - **Vertical Shift:** Shifts 10 units up. **Graph:** - The graph of \( y_1 = 3^x \) and \( y_2 = -3^x + 10 \) are plotted. The x-axis ranges from \([-5, 5]\) and the y-axis ranges from \([-15, 15]\). **Use of Calculator:** - Use a calculator to find an approximation for the zero of the function \( y_2 \) in the above section of the graph. - The equations are: - \( y_1 = 3^x \) - \( y_2 = -3^x + 10 \) **Precision Required:** - 8 decimal spaces needed for the calculation.
Transcribed Image Text:**Transformation of the Exponential Function** The function \( y = -3^x + 10 \) can be obtained from the graph of \( y = 3^x \). **Transformations:** - **Reflection:** It reflects the graph across the x-axis. - **Vertical Shift:** Shifts 10 units up. **Graph:** - The graph of \( y_1 = 3^x \) and \( y_2 = -3^x + 10 \) are plotted. The x-axis ranges from \([-5, 5]\) and the y-axis ranges from \([-15, 15]\). **Use of Calculator:** - Use a calculator to find an approximation for the zero of the function \( y_2 \) in the above section of the graph. - The equations are: - \( y_1 = 3^x \) - \( y_2 = -3^x + 10 \) **Precision Required:** - 8 decimal spaces needed for the calculation.
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