can someone help me with this? ### Transcription and Explanation for Educational Website#### Problem 3:**Function:**\[ f(x) = \left(\frac{7}{2}\right)^{-x} \]**Table of Values:**| x | y ||----|------------------------|| -2 | \( \left(\frac{7}{2}\right)^{-2} = 12.25 \) || -1 | \( \left(\frac{7}{2}\right)^{-1} = 3.5 \) || 0 | \( \left(\frac{7}{2}\right)^{0} = 1 \) || 1 | \( \left(\frac{7}{2}\right)^{1} = 0.2 \) || 2 | \( \left(\frac{7}{2}\right)^{2} = 0.8 \) |**Graph Description:**The graph beside the table is a blank grid intended for plotting the function \( f(x) = \left(\frac{7}{2}\right)^{-x} \) as per the values in the table. The x-axis ranges from -3 to 3, and the y-axis from -9 to 9.#### Problem 4:**Function:**\[ f(x) = 2\left(\frac{1}{4}\right)^{-x} \]**Table of Values:**| x | y ||----|-----------------------|| -2 | \( 2\left(\frac{1}{4}\right)^{-2} = 32 \) || -1 | \( 2\left(\frac{1}{4}\right)^{-1} = 8 \) || 0 | \( 2\left(\frac{1}{4}\right)^{0} = 2 \) || 1 | \( 2\left(\frac{1}{4}\right)^{1} = 0.5 \) || 2 | \( 2\left(\frac{1}{4}\right)^{2} = 0.125 \)|**Graph Description:**The graph beside the table is a blank grid intended for plotting the function \( f(x) = 2\left(\frac{1}{4}\right) **Directions:**Circle each function that is an example of exponential decay (there are exactly five of them). Graph each of these decay functions only.Functions provided:1. \( f(x) = 2 \left(4\right)^x \)2. \( f(x) = 3 \left(5\right)^x \)3. \( f(x) = 6 \left(\frac{2}{3}\right)^x \)4. \( f(x) = 5 \left(\frac{3}{2}\right)^x \)5. \( f(x) = 9^{-x} \)6. \( f(x) = \left(\frac{7}{2}\right)^{-x} \)7. \( f(x) = 2 \left(\frac{1}{4}\right)^x \)8. \( f(x) = 5 \left(\frac{3}{7}\right)^x \)Circled functions indicating exponential decay:- \( f(x) = 6 \left(\frac{2}{3}\right)^x \)- \( f(x) = 5 \left(\frac{3}{2}\right)^{-x} \)- \( f(x) = 9^{-x} \)- \( f(x) = \left(\frac{7}{2}\right)^{-x} \)- \( f(x) = 2 \left(\frac{1}{4}\right)^x \)**1) Function: \( f(x) = 6 \left(\frac{2}{3}\right)^x \)**| x | \( y \) ||----|-----------------------------|| -2 | \( 6 \left(\frac{2}{3}\right)^{-2} = 13.5 \) || -1 | \( 6 \left(\frac{2}{3}\right)^{-1} = 9 \) || 0 | \( 6 \left(\frac{2}{3}\right)^0 = 6 \) || 1 | \( 6 \left(\frac{2}{3}\right)^1 = 4 \) || 2 | \( 6 \left(\frac{2}{3}\right)^2 = 2.6 \) |- **Graph Description:**

Directions: Circle each function that is an example of exponential decay (there are exactly five of them). Graph each of these decay functions only. 1) f(x) = 2(4)* f(x) = 9-* f(x) = 6( ³ ) * f(x)=3(5)* (1(x) = (²7) 6 (3) = 2* f(x)=6 f(x)=2 211 201 TO 16 17 f(x)=5 f(x)=5 NW

Directions: Circle each function that is an example of exponential decay (there are exactly five of them). Graph each of these decay functions only. 1) f(x) = 2(4)* f(x) = 9-* f(x) = 6( ³ ) * f(x)=3(5)* (1(x) = (²7) 6 (3) = 2* f(x)=6 f(x)=2 211 201 TO 16 17 f(x)=5 f(x)=5 NW

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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