Find the domain, x-intercept, and vertical asymptote of the logarithmic function and sketch its graph. y = log4(x - 3) + 5 tep 1 Recall that the domain of a function is the set of values x for which the function is defined. Note that the logarithmic function is defined only for positive numbers. This means y is defined only if x-3 V > 0. Solve this inequality. x> 3 Therefore the domain of the function is x > 3 Write the domain using interval notation. (-00,3)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.3: Logarithmic Functions
Problem 105E
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Tutorial Exercise
Find the domain, x-intercept, and vertical asymptote of the logarithmic function and sketch its graph.
y = log4(x - 3) + 5
Step 1
Recall that the domain of a function is the set of values x for which the function is defined.
Note that the logarithmic function is defined only for positive numbers.
This means y is defined only if x-3
V > 0.
Solve this inequality.
x > 3
Therefore the domain of the function is x > 3
Write the domain using interval notation.
(-00,3)
Submit
Skip (you cannot come back)
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points skipped part. Tutorial Exercise Find the domain, x-intercept, and vertical asymptote of the logarithmic function and sketch its graph. y = log4(x - 3) + 5 Step 1 Recall that the domain of a function is the set of values x for which the function is defined. Note that the logarithmic function is defined only for positive numbers. This means y is defined only if x-3 V > 0. Solve this inequality. x > 3 Therefore the domain of the function is x > 3 Write the domain using interval notation. (-00,3) Submit Skip (you cannot come back)
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