The document discusses graphing logarithmic functions, including y=2x which has no asymptote and a domain and range of all real numbers, y=log2x which has a vertical asymptote at x=0 and domains of x>0 with ranges of y>=0. It also demonstrates translations of logarithmic functions like y=log3(x-2) which has the same vertical asymptote but is shifted 2 units right, and y=logx+3/5 which shifts the graph up 3/5 units.

1. 8.4 graphing logs 2011.notebook February 04, 2013
Graph y = 2x
Graph y = log2x
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2. 8.4 graphing logs 2011.notebook February 04, 2013
y = 2x Points:
Asymptote:
Domain:
Range:
y = log2x
Points:
Asymptote:
Domain:
Range:
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3. 8.4 graphing logs 2011.notebook February 04, 2013
Translations
y = logb(x ­ h) + k
Graph the function. Describe the vertical asymptote. State the domain and range.
y = log3x
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4. 8.4 graphing logs 2011.notebook February 04, 2013
y = log3(x ­ 2)
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5. 8.4 graphing logs 2011.notebook February 04, 2013
y = logx
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6. 8.4 graphing logs 2011.notebook February 04, 2013
y = log x +3
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