Begin by graphing f(x) = log2x. 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(x) = log 2(x + 1) O A. SretcT verticalny B. shift 1 unit to the right C. shrink vertically O D. reflect about the x-axis E. shrink horizontally F. reflect about the y-axis O G. shift 1 unit to the left H. stretch horizontally I. shift 1 unit downward O J. shift 1 unit upward Graph the function g(x) = log 2(x + 1). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = log 2(x+ 1)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = log ,(x + 1)? (Simplify your answer. Type your answer in interval notation.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.8: Transforming Exponential Expressions
Problem 1CYU
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Question
Begin by graphing f(x) = log x. Then use transformations of this
Ay
8-
graph to graph the given function. What is the vertical asymptote?
Use the graphs to determine the given function's domain and
6-
4-
range.
2-
g(x) = log 2(x + 1)
-10 -8
-6 -4
-2
-2-
4
9.
10
J A.
Stretch verically
-4-
B. shift 1 unit to the right
-6-
C. shrink vertically
D. reflect about the x-axis
Е.
shrink horizontally
F.
reflect about the y-axis
G. shift 1 unit to the left
H. stretch horizontally
I.
shift 1 unit downward
J.
shift 1 unit upward
Graph the function g(x) = log 2(x+ 1). Graph the asymptote of
g(x) as a dashed line. Use the graphing tool to graph the function.
Click to
enlarge
graph
What is the vertical asymptote of g(x)?
(Type an equation.)
What is the domain of g(x) = log 2(x+ 1)?
(Simplify your answer. Type your answer in interval notation.)
What is the range of g(x) = log 2(x + 1)?
(Simplify your answer. Type your answer in interval notation.)
Transcribed Image Text:Begin by graphing f(x) = log x. Then use transformations of this Ay 8- graph to graph the given function. What is the vertical asymptote? Use the graphs to determine the given function's domain and 6- 4- range. 2- g(x) = log 2(x + 1) -10 -8 -6 -4 -2 -2- 4 9. 10 J A. Stretch verically -4- B. shift 1 unit to the right -6- C. shrink vertically D. reflect about the x-axis Е. shrink horizontally F. reflect about the y-axis G. shift 1 unit to the left H. stretch horizontally I. shift 1 unit downward J. shift 1 unit upward Graph the function g(x) = log 2(x+ 1). Graph the asymptote of g(x) as a dashed line. Use the graphing tool to graph the function. Click to enlarge graph What is the vertical asymptote of g(x)? (Type an equation.) What is the domain of g(x) = log 2(x+ 1)? (Simplify your answer. Type your answer in interval notation.) What is the range of g(x) = log 2(x + 1)? (Simplify your answer. Type your answer in interval notation.)
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