Exponential functions stem from a parent function that can be written

in the form y = bx where b is a constant, and b > 0.

Exponential functions can be divided into two categories:

Exponential Growth Exponential Decay

Ex: y = 2n Ex: A = 0.1n

A = 1000(1.02)n V = 1600(0.81)n

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Transformations of Exponential Functions

Domain: Domain:Range: Range:

g(x) = a bk(x - d) + c

Exponential Functions

Use transformations to sketch each function.y = -2(3x - 4) y = 4 -2x - 4 + 3

Point orAsymptote

Point orAsymptote

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Domain: Domain:Range: Range:

An exponential function with base 2 is stretched vertically by a factor of 5 and reflected in the y-axis. Its asymptote is the line y = 2. What is the equation of the transformed function? State its domain and range.