Hi, need a step by step break down please. **Section 5: Graphing Logarithmic Functions****Objective:**Graph the function \( y = f(x) = \log_3(x + 2) \).**Instructions:**To accurately graph this function, follow the hint provided to rewrite it in exponential form and calculate specific values for \( y \). These can be plotted on the provided coordinate grid.**Hint:**Rewrite the logarithmic equation in its exponential form to make calculations easier. The hint suggests using the base of 3 in the logarithm to convert it: \[ y = \log_3(x + 2) \quad \Rightarrow \quad x + 2 = 3^y \]Use this equation to find values of \( x \) for specific values of \( y \). Insert these values into the table for plotting on the graph.**Coordinate Grid:**- The grid is a standard Cartesian plane with x and y axes bisecting the graph.- The vertical and horizontal axes represent the y and x values, respectively.**Table for Plotting:**| \( x \) | \( y \) ||---------|---------|| | |Complete the table by calculating at least three points to help map the curve of the logarithmic function on the grid. Points where \( y \) equals integers or simple fractions can often help create an accurate representation.**Note:**- This type of function generally results in a logarithmic curve that will approach the line \( x = -2 \) as an asymptote but never touch it.- Graphing logarithmic functions like this one requires you to think about the domain and range carefully, as logarithms are undefined for negative and zero arguments.Using these guidelines, plot the function accurately on the provided graph. Remember to check your work by substituting the values back into the original equation to verify accuracy.

Answered: Graph: y =f(x)=log 3 (x +2) [ HINT:…

Math

Calculus

Graph: y =f(x)=log 3 (x +2) [ HINT: rewrite in exponential form and plug values in for y

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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