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(f)=e^x+3+5 need to find domain,range,asympotes. Pls help
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Is the correct translation of your question\[f(x)=e ^{x+3}+5\]
domain: All real range: y>5 asymptote: y=5
The domain of f is the set of values of x that can successfully be substituted into the function. I don't think there is any problem with substituting any value of x, so\[dom f=\mathbb{R}\]
The x+3 in the exponent shifts the graph to the left a little, but doesn't change the domain or range. The +5, on the other hand, lifts the whole graph by five units, so rather that getting close to zero as x gets really negative, the graph will get very close to five. So,\[ran(f)=(5,\infty)\]and the graph has an asymptote at y=5 as x goes to neg infinity.
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