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4) Graph the following Function after approximating values on the table provided y 3* = X 0 1 4 3 '3² X 3* Decimal approx 3 0 1/3 مراد 3 w/N w/N 3 1 X 3 4 3

4) Graph the following Function after approximating values on the table provided y 3* = X 0 1 4 3 '3² X 3* Decimal approx 3 0 1/3 مراد 3 w/N w/N 3 1 X 3 4 3

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Graph the Function \( y = 3^x \) #### Instructions: Graph the function \( y = 3^x \) after approximating values based on the table provided. #### Table of Values: | \( x \) | \( 0 \) | \( \frac{1}{3} \) | \( \frac{2}{3} \) | \( 1 \) | \( \frac{4}{3} \) | |---------------------|---------|-------------------|-------------------|----------|-------------------| | \( 3^x \) | \( 3^0 \) | \( 3^{\frac{1}{3}} \) | \( 3^{\frac{2}{3}} \) | \( 3^1 \) | \( 3^{\frac{4}{3}} \) | | **Decimal approx** | \( 1 \) | \( \approx 1.44 \) | \( \approx 2.08 \) | \( 3 \) | \( \approx 4.33 \) | **Explanations:** - \( 3^0 = 1 \) - \( 3^{\frac{1}{3}} \approx 1.44 \) (Cube root of 3) - \( 3^{\frac{2}{3}} \approx 2.08 \) (Cube root of 3 squared) - \( 3^1 = 3 \) - \( 3^{\frac{4}{3}} \approx 4.33 \) (Cube root of 3 to the fourth power) #### Graph Description: A grid is provided with \( x \)-axis and \( y \)-axis for plotting the function. The graph should be plotted based on the approximated decimal values obtained from the table above. 1. Plot the points \((0, 1)\), \((\frac{1}{3}, 1.44)\), \((\frac{2}{3}, 2.08)\), \((1, 3)\), and \((\frac{4}{3}, 4.33)\) on the provided grid. 2. Connect these points smoothly to show the exponential growth of the function \( y = 3^x \). Remember that the exponential graph starts from \((0, 1)\
Transcribed Image Text:### Graph the Function \( y = 3^x \) #### Instructions: Graph the function \( y = 3^x \) after approximating values based on the table provided. #### Table of Values: | \( x \) | \( 0 \) | \( \frac{1}{3} \) | \( \frac{2}{3} \) | \( 1 \) | \( \frac{4}{3} \) | |---------------------|---------|-------------------|-------------------|----------|-------------------| | \( 3^x \) | \( 3^0 \) | \( 3^{\frac{1}{3}} \) | \( 3^{\frac{2}{3}} \) | \( 3^1 \) | \( 3^{\frac{4}{3}} \) | | **Decimal approx** | \( 1 \) | \( \approx 1.44 \) | \( \approx 2.08 \) | \( 3 \) | \( \approx 4.33 \) | **Explanations:** - \( 3^0 = 1 \) - \( 3^{\frac{1}{3}} \approx 1.44 \) (Cube root of 3) - \( 3^{\frac{2}{3}} \approx 2.08 \) (Cube root of 3 squared) - \( 3^1 = 3 \) - \( 3^{\frac{4}{3}} \approx 4.33 \) (Cube root of 3 to the fourth power) #### Graph Description: A grid is provided with \( x \)-axis and \( y \)-axis for plotting the function. The graph should be plotted based on the approximated decimal values obtained from the table above. 1. Plot the points \((0, 1)\), \((\frac{1}{3}, 1.44)\), \((\frac{2}{3}, 2.08)\), \((1, 3)\), and \((\frac{4}{3}, 4.33)\) on the provided grid. 2. Connect these points smoothly to show the exponential growth of the function \( y = 3^x \). Remember that the exponential graph starts from \((0, 1)\
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