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What is an exponential equation?
An equation where the exponent has a variable.
Domain
All real numbers
Range
(0, +infinity)
Horizontal Asymptote
x-axis, y = 0
Vertical Asymptote
None
y intercept
(0, 1) → f(0) = 1, f(1) = b
RULES
y = b^x
b cannot be 1
b > 0
b cannot be a variable
the exponent needs to have a variable
base increases → graph is closer to y (growth)
b approaches 0 → closer to x (decay)
2^12/7
^7 radical(2^12)