SOLUTION: Thank you for your help! Sketch each function. State the domain, range, values of intercepts, and equations of any asymptotes that exist. f(x)= -log2,(x+2)+3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Thank you for your help! Sketch each function. State the domain, range, values of intercepts, and equations of any asymptotes that exist. f(x)= -log2,(x+2)+3      Log On


   

Question 356439: Thank you for your help!
Sketch each function. State the domain, range, values of intercepts, and equations of any asymptotes that exist.
f(x)= -log2,(x+2)+3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=-log%282%2C%28x%2B2%29%29%2B3
Domain:x%2B2%3E0, x%3E-2:(-2,infinity)
Vertical asymptote at x=-2
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Range:(-infinity,infinity)
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y-intercept: x=0,
y=3-log%282%2C%282%29%29
y=3-1
y=2
(0,2)
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x-intercept:y=0,
log%282%2C%28x%2B2%29%29=3
x%2B2=2%5E3
x=6
(6,0)
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