Identifying Characteristics of the Exponential Function y = bx (b > 1)
The domain of an exponential function is . The range of an exponential function is .

On a coordinate plane, the graph of y = 2 Superscript x is shown. The curve approaches the x-axis in quadrant 2 and then increases quickly into quadrant 1.

The domain and range of a function are the set of input and output values the function can take

The function is given as:

There is no restriction as to the value of x.

So, the domain of the function is:

The function is an exponential function.

For an exponential function, where a = 1 and b > 1, the least value of the function is 0

So, the range of the function is:

Read more about domain and range at:

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Step-by-step explanation:

The domain is the horizontal extent: all real numbers. -∞ < x < ∞.

The range is the vertical extent: all numbers greater than zero. 0 < y < ∞. (The graph never actually touches y=0, but comes arbitrarily close.)

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step-by-step explanation: