7.1 Exponential functions and their graphs
Unit 7 · Exponential and logarithmic functions
Ideas in this lesson
Evaluate exponential functions
Evaluate the exponent first, then apply the coefficient and vertical shift.
Growth and decay factors
A base greater than one produces growth; a base strictly between zero and one produces decay.
Transform exponential graphs
Horizontal shifts act inside the exponent; vertical shifts move the horizontal asymptote.
Domains and ranges
An exponential has every real input. Its shifted range depends on the sign of the leading coefficient.
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