Graph exponential, logarithmic, and trigonometric functions with key features.
Graph exponential growth from complete feature fields
Problem
Analyze \(f(x)~=~3~\cdot~2^x\). State \(a,~b,~h,~\text{and}~k\); classify growth or decay; give the intercepts, asymptote, domain, range, and monotonic behavior; and compute exact anchors at \(x~=~-1\), \(0\), and \(1\).
Organize the exponential analysis around the standard transformed form. The base determines growth or decay, the outside coefficient sets the vertical scale and orientation, and the outside shift locates the horizontal asymptote. Evaluate the requested inputs last; those exact anchors should confirm the intercept, trend, and repeated output factor before the curve is drawn.
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