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Graph f(x) = -4(3) + 4. First drag the two (blue) points on graph to the correct points that f(x) passes through. Then use the remaining (red) point to drag the horizontal asymptote to the correct line. Note that all three points are adjusted in increments of 1/4. Y

Graph f(x) = -4(3) + 4. First drag the two (blue) points on graph to the correct points that f(x) passes through. Then use the remaining (red) point to drag the horizontal asymptote to the correct line. Note that all three points are adjusted in increments of 1/4. Y

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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Graph \( f(x) = -4(3)^x + 4 \). First, drag the two (blue) points on the graph to the correct points that \( f(x) \) passes through. Then use the remaining (red) point to drag the horizontal asymptote to the correct line. Note that all three points are adjusted in increments of \( 1/4 \). **Graph Details:** - The graph shows an exponential function that decreases as it approaches a horizontal asymptote from above. - The function crosses the y-axis at a point and curves downward asymptotically towards the horizontal line. - Two movable blue points lie on the curve representing the function. These points can be adjusted to precise positions on the curve. - A red dashed line represents the horizontal asymptote. This line can be moved up or down using a red point to align correctly with the function’s asymptote. - The x-axis and y-axis intersect at the origin and are marked with increments, with labels at every unit interval. - The background grid aids in precise positioning, depicting increments of \( 1/4 \). The objective is to position the points accurately to represent the mathematical function and its asymptote on the graph.
Transcribed Image Text:Graph \( f(x) = -4(3)^x + 4 \). First, drag the two (blue) points on the graph to the correct points that \( f(x) \) passes through. Then use the remaining (red) point to drag the horizontal asymptote to the correct line. Note that all three points are adjusted in increments of \( 1/4 \). **Graph Details:** - The graph shows an exponential function that decreases as it approaches a horizontal asymptote from above. - The function crosses the y-axis at a point and curves downward asymptotically towards the horizontal line. - Two movable blue points lie on the curve representing the function. These points can be adjusted to precise positions on the curve. - A red dashed line represents the horizontal asymptote. This line can be moved up or down using a red point to align correctly with the function’s asymptote. - The x-axis and y-axis intersect at the origin and are marked with increments, with labels at every unit interval. - The background grid aids in precise positioning, depicting increments of \( 1/4 \). The objective is to position the points accurately to represent the mathematical function and its asymptote on the graph.
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