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1 Graph the Exponential Function f(x) = 4 by plotting the Vertical Intercept and one other 4 point. Then write the Vertical Intercept as an ordered pair. 20 + 19 18 17 16 15 14 13 12 11 10- Graph the function f(x) = 4 8-

1 Graph the Exponential Function f(x) = 4 by plotting the Vertical Intercept and one other 4 point. Then write the Vertical Intercept as an ordered pair. 20 + 19 18 17 16 15 14 13 12 11 10- Graph the function f(x) = 4 8-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Task: Graph the Exponential Function** **Instructions:** Graph the Exponential Function \( f(x) = 4 \left( \frac{1}{4} \right)^x \) by plotting the Vertical Intercept and one other point. Then write the Vertical Intercept as an ordered pair. **Steps:** 1. **Equation to Graph:** \( f(x) = 4 \left( \frac{1}{4} \right)^x \) 2. **Required:** - Plot the Vertical Intercept. - Plot one more point on the graph. - Write the Vertical Intercept in the form of an ordered pair. **Graph Details:** - The graph is drawn on a coordinate plane with grid lines. - The x-axis ranges from -7 to 7. - The y-axis ranges from -1 to 20. **Additional Notes:** - Use the "Clear All" button to reset the graph. - Use the "Draw" function to plot the points on the graph. **Output Required:** - Identify and list the Vertical Intercept as an ordered pair. **Graphing Tips:** - The vertical intercept occurs when \( x = 0 \). - Substitute \( x = 0 \) into the function to find \( f(0) = 4 \left( \frac{1}{4} \right)^0 = 4 \). **Example:** The Vertical Intercept can be written as the ordered pair \( (0, 4) \).
Transcribed Image Text:**Task: Graph the Exponential Function** **Instructions:** Graph the Exponential Function \( f(x) = 4 \left( \frac{1}{4} \right)^x \) by plotting the Vertical Intercept and one other point. Then write the Vertical Intercept as an ordered pair. **Steps:** 1. **Equation to Graph:** \( f(x) = 4 \left( \frac{1}{4} \right)^x \) 2. **Required:** - Plot the Vertical Intercept. - Plot one more point on the graph. - Write the Vertical Intercept in the form of an ordered pair. **Graph Details:** - The graph is drawn on a coordinate plane with grid lines. - The x-axis ranges from -7 to 7. - The y-axis ranges from -1 to 20. **Additional Notes:** - Use the "Clear All" button to reset the graph. - Use the "Draw" function to plot the points on the graph. **Output Required:** - Identify and list the Vertical Intercept as an ordered pair. **Graphing Tips:** - The vertical intercept occurs when \( x = 0 \). - Substitute \( x = 0 \) into the function to find \( f(0) = 4 \left( \frac{1}{4} \right)^0 = 4 \). **Example:** The Vertical Intercept can be written as the ordered pair \( (0, 4) \).
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