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", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponential Function Definition" ], "new_concepts": [], "current_concepts": [ "Exponential Function Definition", "Exponential Domain" ] } ## Identify the function type and its algebraic definition $$ y = 2e^x $$ ## Determine the domain of the exponential function $$ \text{Domain} = (-\infty, \infty) $$ ## Match with the given options $$ \text{Domain} = \text{all real numbers} $$

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", "Exponential Function Definition" ] }

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Question

Explanation:

Identify the function type and its algebraic definition

Determine the domain of the exponential function

Match with the given options

Answer: