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Graph f(x) = −5+2 + 2. 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) = −5+2 + 2. 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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**Graphing Exponential Functions: A Step-by-Step Guide** Graph \( f(x) = -5^{x+2} + 2 \). 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 Explanation - The graph displays an exponential function with a vertical stretch and a vertical shift. - **Blue Points**: These represent key points through which the curve should pass. Adjust them to align with the function. - **Red Point**: This indicates the horizontal asymptote, which you should adjust to the appropriate horizontal line. - The function's curve is decreasing due to the negative coefficient and reflects across the x-axis, with a vertical shift of +2 units. - The grid assists with precise placement, using increments of 1/4 to ensure accuracy in graphing. Make sure to visualize how changes in the exponent and shifts affect the curve's shape and position.
Transcribed Image Text:**Graphing Exponential Functions: A Step-by-Step Guide** Graph \( f(x) = -5^{x+2} + 2 \). 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 Explanation - The graph displays an exponential function with a vertical stretch and a vertical shift. - **Blue Points**: These represent key points through which the curve should pass. Adjust them to align with the function. - **Red Point**: This indicates the horizontal asymptote, which you should adjust to the appropriate horizontal line. - The function's curve is decreasing due to the negative coefficient and reflects across the x-axis, with a vertical shift of +2 units. - The grid assists with precise placement, using increments of 1/4 to ensure accuracy in graphing. Make sure to visualize how changes in the exponent and shifts affect the curve's shape and position.
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