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6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

6. Use the graph of f(x) - to write an equation for the function whose graph is shown.

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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6. **Use the graph of \( f(x) = x^3 \) to write an equation for the function whose graph is shown.** ### Graph Explanation: The graph is a transformed version of the cubic function \( f(x) = x^3 \). It features a curve that starts from the bottom left, passes through the origin, and extends to the top right of the grid. The grid has labeled axes, with the x-axis ranging from -5 to 5 and the y-axis also ranging from -5 to 5. **Multiple Choice Options:** A) \( f(x) = \frac{1}{2}(x+2)^3 \) B) \( f(x) = 2(x+2)^3 \) C) \( f(x) = 2x^3 + 2 \) D) \( f(x) = 2x^3 - 2 \) E) \( f(x) = \frac{1}{2}(x-2)^3 \) The task is to determine which of these equations corresponds to the graphed function.
Transcribed Image Text:6. **Use the graph of \( f(x) = x^3 \) to write an equation for the function whose graph is shown.** ### Graph Explanation: The graph is a transformed version of the cubic function \( f(x) = x^3 \). It features a curve that starts from the bottom left, passes through the origin, and extends to the top right of the grid. The grid has labeled axes, with the x-axis ranging from -5 to 5 and the y-axis also ranging from -5 to 5. **Multiple Choice Options:** A) \( f(x) = \frac{1}{2}(x+2)^3 \) B) \( f(x) = 2(x+2)^3 \) C) \( f(x) = 2x^3 + 2 \) D) \( f(x) = 2x^3 - 2 \) E) \( f(x) = \frac{1}{2}(x-2)^3 \) The task is to determine which of these equations corresponds to the graphed function.
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