exponential growth exponential...
Post on 18-Oct-2020
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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
x
y
x
y
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
x
y
x
y
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.
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