Do Now: State the domain of the function.. Academy Algebra II 7.1, 7.2: Graph Exponential Growth and Decay Functions HW: p.482 (6, 10, 16-22 even), p.489.

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Presentation transcript:

Do Now: State the domain of the function.

Academy Algebra II 7.1, 7.2: Graph Exponential Growth and Decay Functions HW: p.482 (6, 10, even), p.489 (16, 18, 22)

Asymptote An asymptote is a line that a graph approaches more and more closely. An asymptote is a line that a graph approaches more and more closely.

Asymptote: Line y = 0. The graph passes through: (0, 1) & (1, b). Example: y = 2 x contains: (0, 1) & (1, 2)

This graph is a vertical stretch or shrink. (When a is negative it reflects over x-axis.) The graph passes through points: (0, a) & (1, ab). If b > 1: exponential growth. If 1 > b > 0: exponential decay.

Graph Translate the graph horizontally h units and vertically k units. Asymptote: Line y = k