Question

function \\(y = b^x\\) (\\(b > 1\\))

the domain of an exponential function is
dropdown menu
the range of an

all real numbers
nonnegative real numbers
positive real numbers
negative real numbers

Explanation:

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<reasoning>

Analyze the domain of the exponential function

Using the Exponential Function Properties knowledge point
\[

$$\begin{aligned} &y = b^x \quad (b > 1)\\ &\text{The exponent } x \text{ can be any real value: } x \in (-\infty, \infty) \end{aligned}$$

\]

Identify the correct option from the dropdown menu

Using the Exponential Function Graphs knowledge point
\[
\text{Domain} = \text{all real numbers}
\]
</reasoning>

<answer>
The domain of an exponential function is <blank>all real numbers</blank>.
</answer>

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"Mathematics",
"Algebra",
"Domain of Exponential Functions"
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Answer:

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<reasoning>

Analyze the domain of the exponential function

Using the Exponential Function Properties knowledge point
\[

$$\begin{aligned} &y = b^x \quad (b > 1)\\ &\text{The exponent } x \text{ can be any real value: } x \in (-\infty, \infty) \end{aligned}$$

\]

Identify the correct option from the dropdown menu

Using the Exponential Function Graphs knowledge point
\[
\text{Domain} = \text{all real numbers}
\]
</reasoning>

<answer>
The domain of an exponential function is <blank>all real numbers</blank>.
</answer>

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"Mathematics",
"Algebra",
"Domain of Exponential Functions"
]
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