Question
Asked Dec 5, 2019
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how do i graph the log function below , and include the vertical asymptote and key points on the graph ? step by step please.

c. f(x) = 2log, (x – 1)
Asy:
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c. f(x) = 2log, (x – 1) Asy:

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Expert Answer

Step 1

Given function:

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f(x) = 2 log, (x– 1) Domain: The domain of a function is the set of input or argument values for which the function is real and defined Find positive values for logs: log, f (x)= f(x)> 0 Solve x-1>0: The function domain x>1 Function range: The range of a logarithmic function of the form c - log (ax +b)+k is all the real numbers -0< f(x)<∞

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Step 2

Step 1 as follows

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Axis interception points of 2 log, (x-1): x-intercept is a point on the graph where y = 0 x- axis interception points of 2log, (x – 1): 2log, (x-1)=0 log, (x – 1)= 0 log, (x – 1)= 0 log, (x-1)=0=x-1=4° x-1=1 x=2

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Step 3

Step 2 as fo...

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y-intercept is the point on the graph where.x = 0 y - axis interception point of 2 log,(x-1): Solution : x >1 Domain of 2log,(x-. –1): Interval Notation : (1,0)| Sincex = 0is not in domain No y-axis interception point None X Intercepts :(2,0)

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Math

Calculus