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(a)
The function is .
The function is vertically shifted up by -units of the parent function .
Domain of the the parent function is and range is .
Therefore, domain of the function is also and range is .
(b)
Consider the function as .
Find the intercept of the function by equating the .
Property of natural logarithm: .
The intercept of the function is .
(c)
Graph the function :
(a) Domain of the function is also and range is .
(b) The intercept of the function is .
(c) Graph of the function is
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