17 terms

Algebra II -Exponents and Logarithmic Functions

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exponential function
A function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1
logarithmic function
the inverse of an exponential function
domain
permissible x-values
range
permissible y-values
inverse
switch the x and y values
asymptotes
lines to which a curve approaches but never touches
dilation
vertical stretch or compression
vertical translation
shift up or down
horizontal translation
shift left or right
log (xy)
log (x) + log(y)
log (x/y)
log (x) - log (y)
log (x^r)
r log (x)
reflection
mirror image
exponential decay
exponential function with a > 0 and 0 < b < 1
exponential growth
exponential function with a > 1 and b > 1
natural base exponential function
an exponential function with base e
change of base formula
logxY=log Y/log x