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 .
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.
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.
f =
8
Which function represents a vertical stretch of an exponential function?
Which function represents a horizontal compression of an exponential function?
Which statements about the graph of the function are true?
Which functions represent exponential growth?
Which shows the domain and range of these functions?
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 parent function y = 0.5x is across its domain because its base, b, is such that .
y = 3x
y = −3x
Identify the horizontal asymptote of each graph.
The domain of the function is to because an exponent can be any real number.
a =
9
a =
1
Which functions have a horizontal asymptote?
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