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 range. 8- 6- g(x) = In (x + 7) 4- 2- Graph g(x) = In (x + 7). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. -to' -8 -6 4 10 -2- Click to -4- enlarge graph -6- What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x+7)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = In (x +7)? (Simplify your answer. Type your answer in interval notation.)
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 range. 8- 6- g(x) = In (x + 7) 4- 2- Graph g(x) = In (x + 7). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. -to' -8 -6 4 10 -2- Click to -4- enlarge graph -6- What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = In (x+7)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = In (x +7)? (Simplify your answer. Type your answer in interval notation.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 range.
Ay
8-
%3D
6-
g(x) = In (x+ 7)
4-
2-
Graph g(x) = In (x + 7). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function.
-10 -8
-6 -4 -2
4
10
Click to
4-
enlarge
graph
--6-
-81
What is the vertical asymptote of g(x)?
(Type an equation.)
What is the domain of g(x) = In (x+7)?
(Simplify your answer. Type your answer in interval notation.)
What is the range of g(x) = In (x+ 7)?
(Simplify your answer. Type your answer in interval notation.)
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