Graphing Exponential Functions Answers
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 .
a =
9
b =
3
c =
1
When b > 1, as x grows in the negative direction, y . When 0 < b < 1, as x grows in the negative direction, y .
Which statements about the graph of the function are true?
Which functions represent exponential growth?
Which functions have a horizontal asymptote?
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
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 .
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
b =
3
c =
1
d =
2
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