Question 830813: Briefly describe how the graph can be obtained from the graph of a basic logarithmic function. Then graph the function. Give the domain and the vertical asymptote of each function.
f(x) = 5 - 2 log (x+1)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Briefly describe how the graph can be obtained from the graph of a basic logarithmic function. Then graph the function. Give the domain and the vertical asymptote of each function.
f(x) = 5 - 2 log (x+1)
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Basic log(x) function:
vertical asymptote: x=0 or y-axis
domain:(0,∞)
point on curve: (1,0)
..
-2log(x+1)
basic curve moves one unit to the left
curve stetches 2 units
negative sign results in curve flipping around the x-axis to its mirror image
vertical asymptote: x=-1
domain:(-1,∞)
point on curve: (0,0)
..
5-2log(x+1)
entire curve raised vertically 5 units
vertical asymptote: x=-1
domain:(-1,∞)
point on curve: (0,5)
..
Sorry, I don't have the means to draw the curve for you.
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