The domain of an exponential function is . The range of an exponential function is .
Which statements about the graph of the function are true?

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

The domain of an exponential function is . The range of an exponential function is .
Which functions have a horizontal asymptote?
If h is instead negative, the curve shifts
The graph of an exponential function has .
Next, change the slider for k to different positive values. The curve shifts k units
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.
When b > 1, as x grows in the negative direction, y . When 0 < b < 1, as x grows in the negative direction, y .
If k is instead negative, the graph shifts
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.
When b > 1, as x grows in the negative direction, y . When 0 < b < 1, as x grows in the negative direction, y .
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