Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and Ay 6- range. 4- g(x) = In (x + 3) 2- Graph g(x) = In (x+3). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. 8 10 Click to enlarge graph -8- What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x + 3)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x)= In (x+ 3)? (Simplify your answer. Type your answer in interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 1DE
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Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph
and give the equation of the asymptote. Use the graphs to determine the function's domain and
8-
6-
range.
4-
g(x) = In (x+ 3)
2-
Graph g(x) = In (x+ 3). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph
%3D
-10 -8 -6-4 -2
-2-
10
the function.
-4-
-6-
Click to
-8-
enlarge
graph
What is the vertical asymptote of g(x)?
(Type an equation.)
What is the domain of g(x) = In (x+ 3)?
(Simplify your answer. Type your answer in interval notation.)
What is the range of g(x) = In (x+ 3)?
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:Begin by graphing f(x) = In x. Use transformations of this graph to graph the given function. Graph and give the equation of the asymptote. Use the graphs to determine the function's domain and 8- 6- range. 4- g(x) = In (x+ 3) 2- Graph g(x) = In (x+ 3). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph %3D -10 -8 -6-4 -2 -2- 10 the function. -4- -6- Click to -8- enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x+ 3)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = In (x+ 3)? (Simplify your answer. Type your answer in interval notation.)
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