what is the domain of the function $y = 2e^x$ graphed below?

* all real numbers greater than 2
* all positive real numbers
* all negative real numbers
* all real numbers

Question

what is the domain of the function $y = 2e^x$ graphed below?

* all real numbers greater than 2
* all positive real numbers
* all negative real numbers
* all real numbers

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Domain of Exponential Functions" ], "new_concepts": [], "current_concepts": [ "Domain of Exponential Functions", "Exponential Function Graphs" ] } ## Identify the function and target Using the *Domain of Exponential Functions* knowledge point $$ \begin{aligned} &y = 2e^x\ &\text{Target: Find the domain of } y \end{aligned} $$ ## Analyze the domain of the exponential function Using the *Domain of Exponential Functions* knowledge point $$ \begin{aligned} &\text{For any real input } x, \text{ the exponent } e^x \text{ is well-defined.}\ &\text{Domain: } (-\infty, \infty) \text{ or all real numbers.} \end{aligned} $$

all real numbers greater than 2

all positive real numbers

all negative real numbers

all real numbers

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Domain of Exponential Functions" ] }

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Question

Explanation:

Identify the function and target

Analyze the domain of the exponential function

Answer: