Graph exponential, logarithmic, and trigonometric functions with key features.
Extract only identifiable graph-family features
Problem
An exponential graph approaches \(y~=~2\) and passes through \((0,~5)\). State every graph feature and parameter determined by this information, then state what remains undetermined.
Big Picture
What this problem is really about
Treat this as an evidence audit rather than a request to guess a unique curve. The horizontal asymptote fixes the outside shift, and the point at input zero fixes the vertical scale because every valid base has zeroth power one. Then separate the consequences shared by the whole family from the base, direction, and further anchors that still require another independent fact.
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