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Graph f (x)=Vx-1.

Graph f (x)=Vx-1.

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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In this educational exercise, you are asked to graph the function \( f(x) = \sqrt{x - 1} \). **Graph Explanation:** - The graph is presented on a standard Cartesian coordinate system. - The x-axis and y-axis are both labeled, ranging from -9 to 9 on both axes in increments of 1. - The function \( f(x) = \sqrt{x - 1} \) represents a square root function that is shifted to the right by 1 unit. This is due to the transformation \( x - 1 \) inside the square root. - The function's domain is \( x \geq 1 \), because the expression under the square root must be non-negative. - Since this function is a square root function, its graph will start at the point (1,0) and will increase gradually, extending infinitely to the right in the positive direction. You are encouraged to plot the function based on these guidelines and observe how the transformation affects the position and shape of the graph compared to the basic square root function \( \sqrt{x} \).
Transcribed Image Text:In this educational exercise, you are asked to graph the function \( f(x) = \sqrt{x - 1} \). **Graph Explanation:** - The graph is presented on a standard Cartesian coordinate system. - The x-axis and y-axis are both labeled, ranging from -9 to 9 on both axes in increments of 1. - The function \( f(x) = \sqrt{x - 1} \) represents a square root function that is shifted to the right by 1 unit. This is due to the transformation \( x - 1 \) inside the square root. - The function's domain is \( x \geq 1 \), because the expression under the square root must be non-negative. - Since this function is a square root function, its graph will start at the point (1,0) and will increase gradually, extending infinitely to the right in the positive direction. You are encouraged to plot the function based on these guidelines and observe how the transformation affects the position and shape of the graph compared to the basic square root function \( \sqrt{x} \).
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