Math Problem Statement

Begin by graphing f left parenthesis x right parenthesis equals log Subscript 3 Baseline x . Then use transformations of this graph to graph the given function. What is the vertical​ asymptote? Use the graphs to determine the given​ function's domain and range. g left parenthesis x right parenthesis equals log Subscript 3 Baseline left parenthesis x plus 2 right parenthesis Question content area bottom left Part 1 Graph the function g left parenthesis x right parenthesis equals log Subscript 3 Baseline left parenthesis x plus 2 right parenthesis . Graph the asymptote of​ g(x) as a dashed line. Use the graphing tool to graph the function. Part 2 What is the vertical asymptote of​ g(x)? enter your response here ​(Type an​ equation.) Part 3 What is the domain of g left parenthesis x right parenthesis equals log Subscript 3 Baseline left parenthesis x plus 2 right parenthesis ​? enter your response here ​(Simplify your answer. Type your answer in interval​ notation.) Part 4 What is the range of g left parenthesis x right parenthesis equals log Subscript 3 Baseline left parenthesis x plus 2 right parenthesis ​? enter your response here ​(Simplify your answer. Type your answer in interval​ notation.)

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithmic Functions
Function Transformations
Graphing Logarithmic Functions

Formulas

f(x) = log_3(x)
g(x) = log_3(x + 2)

Theorems

Transformation of functions
Domain and range of logarithmic functions

Suitable Grade Level

Grades 10-12