The domain of an exponential function is . The range of an exponential function is .
The domain of an exponential function is . The range of an exponential function is .
The graph of an exponential function has .
The graph is throughout its domain and has at the x–axis because the value bx can get very close to 0 but never reach it.
e =
6
f =
8
Which function represents a vertical stretch of an exponential function?
The graph is throughout its domain and has at the x–axis because the value bx can get very close to 0 but never reach it.
Which functions represent exponential growth?
Explore transformations of the basic exponential function , shown right. First, change the slider for h to positive values such as 1, 2, or 3. The curve shifts h units

If h is instead negative, the curve shifts
The parent function y = 0.5x is across its domain because its base, b, is such that .
The function, f, shifts the parent function 8 units .
a =
1
y = 3x
Which functions have a horizontal asymptote?
Next, change the slider for k to different positive values. The curve shifts k units
The parent function y = 0.5x is across its domain because its base, b, is such that .
b =
3
y = 3−x
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